diff --git a/lectures/Manifest.toml b/lectures/Manifest.toml
index 62b84075..8412e743 100644
--- a/lectures/Manifest.toml
+++ b/lectures/Manifest.toml
@@ -5,13 +5,14 @@ manifest_format = "2.0"
 project_hash = "b611414c063dd94bb220ecc79ddf4aad7f078b5e"
 
 [[deps.ADTypes]]
-git-tree-sha1 = "eea5d80188827b35333801ef97a40c2ed653b081"
+git-tree-sha1 = "30bb95a372787af850addf28ac937f1be7b79173"
 uuid = "47edcb42-4c32-4615-8424-f2b9edc5f35b"
-version = "1.9.0"
-weakdeps = ["ChainRulesCore", "EnzymeCore"]
+version = "1.10.0"
+weakdeps = ["ChainRulesCore", "ConstructionBase", "EnzymeCore"]
 
     [deps.ADTypes.extensions]
     ADTypesChainRulesCoreExt = "ChainRulesCore"
+    ADTypesConstructionBaseExt = "ConstructionBase"
     ADTypesEnzymeCoreExt = "EnzymeCore"
 
 [[deps.AMD]]
@@ -113,9 +114,9 @@ version = "3.5.1+1"
 
 [[deps.ArrayInterface]]
 deps = ["Adapt", "LinearAlgebra"]
-git-tree-sha1 = "d60a1922358aa203019b7857a2c8c37329b8736c"
+git-tree-sha1 = "d5140b60b87473df18cf4fe66382b7c3596df047"
 uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
-version = "7.17.0"
+version = "7.17.1"
 
     [deps.ArrayInterface.extensions]
     ArrayInterfaceBandedMatricesExt = "BandedMatrices"
@@ -199,6 +200,16 @@ git-tree-sha1 = "f21cfd4950cb9f0587d5067e69405ad2acd27b87"
 uuid = "62783981-4cbd-42fc-bca8-16325de8dc4b"
 version = "0.1.6"
 
+[[deps.BracketingNonlinearSolve]]
+deps = ["CommonSolve", "ConcreteStructs", "NonlinearSolveBase", "PrecompileTools", "Reexport", "SciMLBase"]
+git-tree-sha1 = "95cb19c37ea427617e9795655667712f03058d98"
+uuid = "70df07ce-3d50-431d-a3e7-ca6ddb60ac1e"
+version = "1.1.0"
+weakdeps = ["ForwardDiff"]
+
+    [deps.BracketingNonlinearSolve.extensions]
+    BracketingNonlinearSolveForwardDiffExt = "ForwardDiff"
+
 [[deps.Bzip2_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
 git-tree-sha1 = "8873e196c2eb87962a2048b3b8e08946535864a1"
@@ -228,6 +239,11 @@ git-tree-sha1 = "009060c9a6168704143100f36ab08f06c2af4642"
 uuid = "83423d85-b0ee-5818-9007-b63ccbeb887a"
 version = "1.18.2+1"
 
+[[deps.Cassette]]
+git-tree-sha1 = "f8764df8d9d2aec2812f009a1ac39e46c33354b8"
+uuid = "7057c7e9-c182-5462-911a-8362d720325c"
+version = "0.3.14"
+
 [[deps.CategoricalArrays]]
 deps = ["DataAPI", "Future", "Missings", "Printf", "Requires", "Statistics", "Unicode"]
 git-tree-sha1 = "1568b28f91293458345dabba6a5ea3f183250a61"
@@ -287,21 +303,25 @@ version = "0.7.6"
 
 [[deps.ColorSchemes]]
 deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "PrecompileTools", "Random"]
-git-tree-sha1 = "13951eb68769ad1cd460cdb2e64e5e95f1bf123d"
+git-tree-sha1 = "c785dfb1b3bfddd1da557e861b919819b82bbe5b"
 uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4"
-version = "3.27.0"
+version = "3.27.1"
 
 [[deps.ColorTypes]]
 deps = ["FixedPointNumbers", "Random"]
-git-tree-sha1 = "b10d0b65641d57b8b4d5e234446582de5047050d"
+git-tree-sha1 = "c7acce7a7e1078a20a285211dd73cd3941a871d6"
 uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f"
-version = "0.11.5"
+version = "0.12.0"
+weakdeps = ["StyledStrings"]
+
+    [deps.ColorTypes.extensions]
+    StyledStringsExt = "StyledStrings"
 
 [[deps.ColorVectorSpace]]
 deps = ["ColorTypes", "FixedPointNumbers", "LinearAlgebra", "Requires", "Statistics", "TensorCore"]
-git-tree-sha1 = "a1f44953f2382ebb937d60dafbe2deea4bd23249"
+git-tree-sha1 = "8b3b6f87ce8f65a2b4f857528fd8d70086cd72b1"
 uuid = "c3611d14-8923-5661-9e6a-0046d554d3a4"
-version = "0.10.0"
+version = "0.11.0"
 weakdeps = ["SpecialFunctions"]
 
     [deps.ColorVectorSpace.extensions]
@@ -309,9 +329,9 @@ weakdeps = ["SpecialFunctions"]
 
 [[deps.Colors]]
 deps = ["ColorTypes", "FixedPointNumbers", "Reexport"]
-git-tree-sha1 = "362a287c3aa50601b0bc359053d5c2468f0e7ce0"
+git-tree-sha1 = "64e15186f0aa277e174aa81798f7eb8598e0157e"
 uuid = "5ae59095-9a9b-59fe-a467-6f913c188581"
-version = "0.12.11"
+version = "0.13.0"
 
 [[deps.Combinatorics]]
 git-tree-sha1 = "08c8b6831dc00bfea825826be0bc8336fc369860"
@@ -426,9 +446,9 @@ version = "0.15.3"
 
 [[deps.DataInterpolations]]
 deps = ["FindFirstFunctions", "ForwardDiff", "LinearAlgebra", "PrettyTables", "RecipesBase", "Reexport"]
-git-tree-sha1 = "3d81cd1fcba530122a5d6c725aa53521d869816a"
+git-tree-sha1 = "78d06458ec13b53b3b0016daebe53f832d42ff44"
 uuid = "82cc6244-b520-54b8-b5a6-8a565e85f1d0"
-version = "6.5.2"
+version = "6.6.0"
 
     [deps.DataInterpolations.extensions]
     DataInterpolationsChainRulesCoreExt = "ChainRulesCore"
@@ -478,10 +498,10 @@ uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab"
 version = "1.9.1"
 
 [[deps.DiffEqBase]]
-deps = ["ArrayInterface", "ConcreteStructs", "DataStructures", "DocStringExtensions", "EnumX", "EnzymeCore", "FastBroadcast", "FastClosures", "ForwardDiff", "FunctionWrappers", "FunctionWrappersWrappers", "LinearAlgebra", "Logging", "Markdown", "MuladdMacro", "Parameters", "PreallocationTools", "PrecompileTools", "Printf", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators", "SciMLStructures", "Setfield", "Static", "StaticArraysCore", "Statistics", "TruncatedStacktraces"]
-git-tree-sha1 = "f8eefbb7e910f59087c4bb09ce670f235758ee4a"
+deps = ["ArrayInterface", "ConcreteStructs", "DataStructures", "DocStringExtensions", "EnumX", "EnzymeCore", "FastBroadcast", "FastClosures", "FastPower", "ForwardDiff", "FunctionWrappers", "FunctionWrappersWrappers", "LinearAlgebra", "Logging", "Markdown", "MuladdMacro", "Parameters", "PreallocationTools", "PrecompileTools", "Printf", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators", "SciMLStructures", "Setfield", "Static", "StaticArraysCore", "Statistics", "TruncatedStacktraces"]
+git-tree-sha1 = "b7dbeaa770bad0980ddddf606de814cff2acb3bc"
 uuid = "2b5f629d-d688-5b77-993f-72d75c75574e"
-version = "6.158.3"
+version = "6.160.0"
 
     [deps.DiffEqBase.extensions]
     DiffEqBaseCUDAExt = "CUDA"
@@ -537,9 +557,9 @@ version = "1.15.1"
 
 [[deps.DifferentiationInterface]]
 deps = ["ADTypes", "LinearAlgebra"]
-git-tree-sha1 = "ba137efeddd4b6e6a7154f2a92d2922a0057486f"
+git-tree-sha1 = "94e3189f15c2d9011144c094a89fe3f31cc394b0"
 uuid = "a0c0ee7d-e4b9-4e03-894e-1c5f64a51d63"
-version = "0.6.21"
+version = "0.6.23"
 
     [deps.DifferentiationInterface.extensions]
     DifferentiationInterfaceChainRulesCoreExt = "ChainRulesCore"
@@ -644,9 +664,9 @@ uuid = "4e289a0a-7415-4d19-859d-a7e5c4648b56"
 version = "1.0.4"
 
 [[deps.EnzymeCore]]
-git-tree-sha1 = "04c777af6ef65530a96ab68f0a81a4608113aa1d"
+git-tree-sha1 = "e333ffd38ecffcf5c6c2dafd10788404ac46fb9f"
 uuid = "f151be2c-9106-41f4-ab19-57ee4f262869"
-version = "0.8.5"
+version = "0.8.6"
 weakdeps = ["Adapt"]
 
     [deps.EnzymeCore.extensions]
@@ -660,15 +680,15 @@ version = "0.0.20230411+0"
 
 [[deps.ExceptionUnwrapping]]
 deps = ["Test"]
-git-tree-sha1 = "dcb08a0d93ec0b1cdc4af184b26b591e9695423a"
+git-tree-sha1 = "d36f682e590a83d63d1c7dbd287573764682d12a"
 uuid = "460bff9d-24e4-43bc-9d9f-a8973cb893f4"
-version = "0.1.10"
+version = "0.1.11"
 
 [[deps.Expat_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "1c6317308b9dc757616f0b5cb379db10494443a7"
+git-tree-sha1 = "cc5231d52eb1771251fbd37171dbc408bcc8a1b6"
 uuid = "2e619515-83b5-522b-bb60-26c02a35a201"
-version = "2.6.2+0"
+version = "2.6.4+0"
 
 [[deps.Expectations]]
 deps = ["Distributions", "FastGaussQuadrature", "LinearAlgebra", "SpecialFunctions"]
@@ -678,9 +698,13 @@ version = "1.9.2"
 
 [[deps.ExponentialUtilities]]
 deps = ["Adapt", "ArrayInterface", "GPUArraysCore", "GenericSchur", "LinearAlgebra", "PrecompileTools", "Printf", "SparseArrays", "libblastrampoline_jll"]
-git-tree-sha1 = "8e18940a5ba7f4ddb41fe2b79b6acaac50880a86"
+git-tree-sha1 = "cae251c76f353e32d32d76fae2fea655eab652af"
 uuid = "d4d017d3-3776-5f7e-afef-a10c40355c18"
-version = "1.26.1"
+version = "1.27.0"
+weakdeps = ["StaticArrays"]
+
+    [deps.ExponentialUtilities.extensions]
+    ExponentialUtilitiesStaticArraysExt = "StaticArrays"
 
 [[deps.ExprTools]]
 git-tree-sha1 = "27415f162e6028e81c72b82ef756bf321213b6ec"
@@ -763,9 +787,13 @@ version = "1.1.1"
 
 [[deps.FileIO]]
 deps = ["Pkg", "Requires", "UUIDs"]
-git-tree-sha1 = "62ca0547a14c57e98154423419d8a342dca75ca9"
+git-tree-sha1 = "2dd20384bf8c6d411b5c7370865b1e9b26cb2ea3"
 uuid = "5789e2e9-d7fb-5bc7-8068-2c6fae9b9549"
-version = "1.16.4"
+version = "1.16.6"
+weakdeps = ["HTTP"]
+
+    [deps.FileIO.extensions]
+    HTTPExt = "HTTP"
 
 [[deps.FilePathsBase]]
 deps = ["Compat", "Dates"]
@@ -801,9 +829,9 @@ version = "1.4.1"
 
 [[deps.FiniteDiff]]
 deps = ["ArrayInterface", "LinearAlgebra", "Setfield"]
-git-tree-sha1 = "b10bdafd1647f57ace3885143936749d61638c3b"
+git-tree-sha1 = "84e3a47db33be7248daa6274b287507dd6ff84e8"
 uuid = "6a86dc24-6348-571c-b903-95158fe2bd41"
-version = "2.26.0"
+version = "2.26.2"
 
     [deps.FiniteDiff.extensions]
     FiniteDiffBandedMatricesExt = "BandedMatrices"
@@ -856,9 +884,9 @@ version = "1.3.7"
 
 [[deps.ForwardDiff]]
 deps = ["CommonSubexpressions", "DiffResults", "DiffRules", "LinearAlgebra", "LogExpFunctions", "NaNMath", "Preferences", "Printf", "Random", "SpecialFunctions"]
-git-tree-sha1 = "a9ce73d3c827adab2d70bf168aaece8cce196898"
+git-tree-sha1 = "a2df1b776752e3f344e5116c06d75a10436ab853"
 uuid = "f6369f11-7733-5829-9624-2563aa707210"
-version = "0.10.37"
+version = "0.10.38"
 weakdeps = ["StaticArrays"]
 
     [deps.ForwardDiff.extensions]
@@ -876,6 +904,12 @@ git-tree-sha1 = "1ed150b39aebcc805c26b93a8d0122c940f64ce2"
 uuid = "559328eb-81f9-559d-9380-de523a88c83c"
 version = "1.0.14+0"
 
+[[deps.FunctionProperties]]
+deps = ["Cassette", "DiffRules"]
+git-tree-sha1 = "bf7c740307eb0ee80e05d8aafbd0c5a901578398"
+uuid = "f62d2435-5019-4c03-9749-2d4c77af0cbc"
+version = "0.1.2"
+
 [[deps.FunctionWrappers]]
 git-tree-sha1 = "d62485945ce5ae9c0c48f124a84998d755bae00e"
 uuid = "069b7b12-0de2-55c6-9aab-29f3d0a68a2e"
@@ -922,12 +956,6 @@ git-tree-sha1 = "f31929b9e67066bee48eec8b03c0df47d31a74b3"
 uuid = "d2c73de3-f751-5644-a686-071e5b155ba9"
 version = "0.73.8+0"
 
-[[deps.GenericLinearAlgebra]]
-deps = ["LinearAlgebra", "Printf", "Random", "libblastrampoline_jll"]
-git-tree-sha1 = "c4f9c87b74aedf20920034bd4db81d0bffc527d2"
-uuid = "14197337-ba66-59df-a3e3-ca00e7dcff7a"
-version = "0.3.14"
-
 [[deps.GenericSchur]]
 deps = ["LinearAlgebra", "Printf"]
 git-tree-sha1 = "af49a0851f8113fcfae2ef5027c6d49d0acec39b"
@@ -995,9 +1023,9 @@ version = "2.11.2+1"
 
 [[deps.HypergeometricFunctions]]
 deps = ["LinearAlgebra", "OpenLibm_jll", "SpecialFunctions"]
-git-tree-sha1 = "7c4195be1649ae622304031ed46a2f4df989f1eb"
+git-tree-sha1 = "b1c2585431c382e3fe5805874bda6aea90a95de9"
 uuid = "34004b35-14d8-5ef3-9330-4cdb6864b03a"
-version = "0.3.24"
+version = "0.3.25"
 
 [[deps.IfElse]]
 git-tree-sha1 = "debdd00ffef04665ccbb3e150747a77560e8fad1"
@@ -1145,9 +1173,9 @@ version = "3.0.4+0"
 
 [[deps.JuMP]]
 deps = ["LinearAlgebra", "MacroTools", "MathOptInterface", "MutableArithmetics", "OrderedCollections", "PrecompileTools", "Printf", "SparseArrays"]
-git-tree-sha1 = "cac0ea273db1c9db803af8ee2921d0a3f5a193a4"
+git-tree-sha1 = "866dd0bf0474f0d5527c2765c71889762ba90a27"
 uuid = "4076af6c-e467-56ae-b986-b466b2749572"
-version = "1.23.4"
+version = "1.23.5"
 
     [deps.JuMP.extensions]
     JuMPDimensionalDataExt = "DimensionalData"
@@ -1233,9 +1261,9 @@ version = "0.1.17"
 
 [[deps.LazyArrays]]
 deps = ["ArrayLayouts", "FillArrays", "LinearAlgebra", "MacroTools", "SparseArrays"]
-git-tree-sha1 = "360f6039babd6e4d6364eff0d4fc9120834a2d9a"
+git-tree-sha1 = "376bc148ae72e68a08f0d5d8a69e287025a37687"
 uuid = "5078a376-72f3-5289-bfd5-ec5146d43c02"
-version = "2.2.1"
+version = "2.2.2"
 
     [deps.LazyArrays.extensions]
     LazyArraysBandedMatricesExt = "BandedMatrices"
@@ -1378,9 +1406,9 @@ weakdeps = ["ChainRulesCore", "SparseArrays", "Statistics"]
 
 [[deps.LinearSolve]]
 deps = ["ArrayInterface", "ChainRulesCore", "ConcreteStructs", "DocStringExtensions", "EnumX", "FastLapackInterface", "GPUArraysCore", "InteractiveUtils", "KLU", "Krylov", "LazyArrays", "Libdl", "LinearAlgebra", "MKL_jll", "Markdown", "PrecompileTools", "Preferences", "RecursiveFactorization", "Reexport", "SciMLBase", "SciMLOperators", "Setfield", "SparseArrays", "Sparspak", "StaticArraysCore", "UnPack"]
-git-tree-sha1 = "591de175461afd8323aa24b7686062574527aa3a"
+git-tree-sha1 = "6b79df6e803fb62b79a364b86c790e7e21bd38ce"
 uuid = "7ed4a6bd-45f5-4d41-b270-4a48e9bafcae"
-version = "2.36.2"
+version = "2.37.0"
 
     [deps.LinearSolve.extensions]
     LinearSolveBandedMatricesExt = "BandedMatrices"
@@ -1559,9 +1587,9 @@ version = "0.10.3"
 
 [[deps.MutableArithmetics]]
 deps = ["LinearAlgebra", "SparseArrays", "Test"]
-git-tree-sha1 = "90077f1e79de8c9c7c8a90644494411111f4e07b"
+git-tree-sha1 = "a2710df6b0931f987530f59427441b21245d8f5e"
 uuid = "d8a4904e-b15c-11e9-3269-09a3773c0cb0"
-version = "1.5.2"
+version = "1.6.0"
 
 [[deps.NLSolversBase]]
 deps = ["DiffResults", "Distributed", "FiniteDiff", "ForwardDiff"]
@@ -1599,41 +1627,79 @@ version = "1.0.2"
 
 [[deps.NearestNeighbors]]
 deps = ["Distances", "StaticArrays"]
-git-tree-sha1 = "3cebfc94a0754cc329ebc3bab1e6c89621e791ad"
+git-tree-sha1 = "8a3271d8309285f4db73b4f662b1b290c715e85e"
 uuid = "b8a86587-4115-5ab1-83bc-aa920d37bbce"
-version = "0.4.20"
+version = "0.4.21"
 
 [[deps.NetworkOptions]]
 uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
 version = "1.2.0"
 
 [[deps.NonlinearSolve]]
-deps = ["ADTypes", "ArrayInterface", "ConcreteStructs", "DiffEqBase", "DifferentiationInterface", "FastBroadcast", "FastClosures", "FiniteDiff", "ForwardDiff", "LazyArrays", "LineSearch", "LineSearches", "LinearAlgebra", "LinearSolve", "MaybeInplace", "PrecompileTools", "Preferences", "Printf", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLJacobianOperators", "SciMLOperators", "Setfield", "SimpleNonlinearSolve", "SparseArrays", "SparseConnectivityTracer", "SparseMatrixColorings", "StaticArraysCore", "SymbolicIndexingInterface", "TimerOutputs"]
-git-tree-sha1 = "4d8944f32db2b07a2bdf8477e878bcb9c9ea2308"
+deps = ["ADTypes", "ArrayInterface", "BracketingNonlinearSolve", "CommonSolve", "ConcreteStructs", "DiffEqBase", "DifferentiationInterface", "FastClosures", "FiniteDiff", "ForwardDiff", "LineSearch", "LinearAlgebra", "LinearSolve", "NonlinearSolveBase", "NonlinearSolveFirstOrder", "NonlinearSolveQuasiNewton", "NonlinearSolveSpectralMethods", "PrecompileTools", "Preferences", "Reexport", "SciMLBase", "SimpleNonlinearSolve", "SparseArrays", "SparseMatrixColorings", "StaticArraysCore", "SymbolicIndexingInterface"]
+git-tree-sha1 = "e646d238e65928630a5f557c0676051a11504c9d"
 uuid = "8913a72c-1f9b-4ce2-8d82-65094dcecaec"
-version = "3.15.1"
+version = "4.2.0"
 
     [deps.NonlinearSolve.extensions]
-    NonlinearSolveBandedMatricesExt = "BandedMatrices"
     NonlinearSolveFastLevenbergMarquardtExt = "FastLevenbergMarquardt"
     NonlinearSolveFixedPointAccelerationExt = "FixedPointAcceleration"
     NonlinearSolveLeastSquaresOptimExt = "LeastSquaresOptim"
     NonlinearSolveMINPACKExt = "MINPACK"
     NonlinearSolveNLSolversExt = "NLSolvers"
-    NonlinearSolveNLsolveExt = "NLsolve"
+    NonlinearSolveNLsolveExt = ["NLsolve", "LineSearches"]
+    NonlinearSolvePETScExt = ["PETSc", "MPI"]
     NonlinearSolveSIAMFANLEquationsExt = "SIAMFANLEquations"
     NonlinearSolveSpeedMappingExt = "SpeedMapping"
+    NonlinearSolveSundialsExt = "Sundials"
 
     [deps.NonlinearSolve.weakdeps]
-    BandedMatrices = "aae01518-5342-5314-be14-df237901396f"
     FastLevenbergMarquardt = "7a0df574-e128-4d35-8cbd-3d84502bf7ce"
     FixedPointAcceleration = "817d07cb-a79a-5c30-9a31-890123675176"
     LeastSquaresOptim = "0fc2ff8b-aaa3-5acd-a817-1944a5e08891"
+    LineSearches = "d3d80556-e9d4-5f37-9878-2ab0fcc64255"
     MINPACK = "4854310b-de5a-5eb6-a2a5-c1dee2bd17f9"
+    MPI = "da04e1cc-30fd-572f-bb4f-1f8673147195"
     NLSolvers = "337daf1e-9722-11e9-073e-8b9effe078ba"
     NLsolve = "2774e3e8-f4cf-5e23-947b-6d7e65073b56"
+    PETSc = "ace2c81b-2b5f-4b1e-a30d-d662738edfe0"
     SIAMFANLEquations = "084e46ad-d928-497d-ad5e-07fa361a48c4"
     SpeedMapping = "f1835b91-879b-4a3f-a438-e4baacf14412"
+    Sundials = "c3572dad-4567-51f8-b174-8c6c989267f4"
+
+[[deps.NonlinearSolveBase]]
+deps = ["ADTypes", "Adapt", "ArrayInterface", "CommonSolve", "Compat", "ConcreteStructs", "DifferentiationInterface", "EnzymeCore", "FastClosures", "FunctionProperties", "LinearAlgebra", "Markdown", "MaybeInplace", "Preferences", "Printf", "RecursiveArrayTools", "SciMLBase", "SciMLJacobianOperators", "SciMLOperators", "StaticArraysCore", "SymbolicIndexingInterface", "TimerOutputs"]
+git-tree-sha1 = "46772fc296d9f16c3ab78a8ef00008ab075de677"
+uuid = "be0214bd-f91f-a760-ac4e-3421ce2b2da0"
+version = "1.3.3"
+weakdeps = ["BandedMatrices", "DiffEqBase", "ForwardDiff", "LineSearch", "LinearSolve", "SparseArrays", "SparseMatrixColorings"]
+
+    [deps.NonlinearSolveBase.extensions]
+    NonlinearSolveBaseBandedMatricesExt = "BandedMatrices"
+    NonlinearSolveBaseDiffEqBaseExt = "DiffEqBase"
+    NonlinearSolveBaseForwardDiffExt = "ForwardDiff"
+    NonlinearSolveBaseLineSearchExt = "LineSearch"
+    NonlinearSolveBaseLinearSolveExt = "LinearSolve"
+    NonlinearSolveBaseSparseArraysExt = "SparseArrays"
+    NonlinearSolveBaseSparseMatrixColoringsExt = "SparseMatrixColorings"
+
+[[deps.NonlinearSolveFirstOrder]]
+deps = ["ADTypes", "ArrayInterface", "CommonSolve", "ConcreteStructs", "DiffEqBase", "FiniteDiff", "ForwardDiff", "LineSearch", "LinearAlgebra", "LinearSolve", "MaybeInplace", "NonlinearSolveBase", "PrecompileTools", "Reexport", "SciMLBase", "SciMLJacobianOperators", "Setfield", "StaticArraysCore"]
+git-tree-sha1 = "05a42691900f8f14e930478d5638a5f0fc973601"
+uuid = "5959db7a-ea39-4486-b5fe-2dd0bf03d60d"
+version = "1.1.0"
+
+[[deps.NonlinearSolveQuasiNewton]]
+deps = ["ArrayInterface", "CommonSolve", "ConcreteStructs", "DiffEqBase", "LinearAlgebra", "LinearSolve", "MaybeInplace", "NonlinearSolveBase", "PrecompileTools", "Reexport", "SciMLBase", "SciMLOperators", "StaticArraysCore"]
+git-tree-sha1 = "066d4940938f4bb5fd1ce146e61a373f40b89d31"
+uuid = "9a2c21bd-3a47-402d-9113-8faf9a0ee114"
+version = "1.0.0"
+
+[[deps.NonlinearSolveSpectralMethods]]
+deps = ["CommonSolve", "ConcreteStructs", "DiffEqBase", "LineSearch", "MaybeInplace", "NonlinearSolveBase", "PrecompileTools", "Reexport", "SciMLBase"]
+git-tree-sha1 = "cc97c44e396ab820401c8c404bc1fd18d4c884bd"
+uuid = "26075421-4e9a-44e1-8bd1-420ed7ad02b2"
+version = "1.0.0"
 
 [[deps.Observables]]
 git-tree-sha1 = "7438a59546cf62428fc9d1bc94729146d37a7225"
@@ -1691,9 +1757,9 @@ version = "0.5.5+0"
 
 [[deps.Optim]]
 deps = ["Compat", "FillArrays", "ForwardDiff", "LineSearches", "LinearAlgebra", "NLSolversBase", "NaNMath", "Parameters", "PositiveFactorizations", "Printf", "SparseArrays", "StatsBase"]
-git-tree-sha1 = "d9b79c4eed437421ac4285148fcadf42e0700e89"
+git-tree-sha1 = "ab7edad78cdef22099f43c54ef77ac63c2c9cc64"
 uuid = "429524aa-4258-5aef-a3af-852621145aeb"
-version = "1.9.4"
+version = "1.10.0"
 weakdeps = ["MathOptInterface"]
 
     [deps.Optim.extensions]
@@ -1712,9 +1778,9 @@ version = "1.6.3"
 
 [[deps.OrdinaryDiffEq]]
 deps = ["ADTypes", "Adapt", "ArrayInterface", "DataStructures", "DiffEqBase", "DocStringExtensions", "EnumX", "ExponentialUtilities", "FastBroadcast", "FastClosures", "FillArrays", "FiniteDiff", "ForwardDiff", "FunctionWrappersWrappers", "InteractiveUtils", "LineSearches", "LinearAlgebra", "LinearSolve", "Logging", "MacroTools", "MuladdMacro", "NonlinearSolve", "OrdinaryDiffEqAdamsBashforthMoulton", "OrdinaryDiffEqBDF", "OrdinaryDiffEqCore", "OrdinaryDiffEqDefault", "OrdinaryDiffEqDifferentiation", "OrdinaryDiffEqExplicitRK", "OrdinaryDiffEqExponentialRK", "OrdinaryDiffEqExtrapolation", "OrdinaryDiffEqFIRK", "OrdinaryDiffEqFeagin", "OrdinaryDiffEqFunctionMap", "OrdinaryDiffEqHighOrderRK", "OrdinaryDiffEqIMEXMultistep", "OrdinaryDiffEqLinear", "OrdinaryDiffEqLowOrderRK", "OrdinaryDiffEqLowStorageRK", "OrdinaryDiffEqNonlinearSolve", "OrdinaryDiffEqNordsieck", "OrdinaryDiffEqPDIRK", "OrdinaryDiffEqPRK", "OrdinaryDiffEqQPRK", "OrdinaryDiffEqRKN", "OrdinaryDiffEqRosenbrock", "OrdinaryDiffEqSDIRK", "OrdinaryDiffEqSSPRK", "OrdinaryDiffEqStabilizedIRK", "OrdinaryDiffEqStabilizedRK", "OrdinaryDiffEqSymplecticRK", "OrdinaryDiffEqTsit5", "OrdinaryDiffEqVerner", "Polyester", "PreallocationTools", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators", "SciMLStructures", "SimpleNonlinearSolve", "SimpleUnPack", "SparseArrays", "SparseDiffTools", "Static", "StaticArrayInterface", "StaticArrays", "TruncatedStacktraces"]
-git-tree-sha1 = "cd892f12371c287dc50d6ad3af075b088b6f2d48"
+git-tree-sha1 = "36ce9bfc14a4b3dcf1490e80b5f1f4d35bfddf39"
 uuid = "1dea7af3-3e70-54e6-95c3-0bf5283fa5ed"
-version = "6.89.0"
+version = "6.90.1"
 
 [[deps.OrdinaryDiffEqAdamsBashforthMoulton]]
 deps = ["ADTypes", "DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqLowOrderRK", "Polyester", "RecursiveArrayTools", "Reexport", "Static"]
@@ -1730,9 +1796,9 @@ version = "1.1.2"
 
 [[deps.OrdinaryDiffEqCore]]
 deps = ["ADTypes", "Accessors", "Adapt", "ArrayInterface", "DataStructures", "DiffEqBase", "DocStringExtensions", "EnumX", "FastBroadcast", "FastClosures", "FastPower", "FillArrays", "FunctionWrappersWrappers", "InteractiveUtils", "LinearAlgebra", "Logging", "MacroTools", "MuladdMacro", "Polyester", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators", "SciMLStructures", "SimpleUnPack", "Static", "StaticArrayInterface", "StaticArraysCore", "SymbolicIndexingInterface", "TruncatedStacktraces"]
-git-tree-sha1 = "5e8c500a80674850543394ce3c745b73ad51fea0"
+git-tree-sha1 = "7ad369e1c06c6e267b4b8414518ee69b767705ee"
 uuid = "bbf590c4-e513-4bbe-9b18-05decba2e5d8"
-version = "1.10.0"
+version = "1.12.0"
 weakdeps = ["EnzymeCore"]
 
     [deps.OrdinaryDiffEqCore.extensions]
@@ -1746,9 +1812,9 @@ version = "1.1.0"
 
 [[deps.OrdinaryDiffEqDifferentiation]]
 deps = ["ADTypes", "ArrayInterface", "DiffEqBase", "FastBroadcast", "FiniteDiff", "ForwardDiff", "FunctionWrappersWrappers", "LinearAlgebra", "LinearSolve", "OrdinaryDiffEqCore", "SciMLBase", "SparseArrays", "SparseDiffTools", "StaticArrayInterface", "StaticArrays"]
-git-tree-sha1 = "e63ec633b1efa99e3caa2e26a01faaa88ba6cef9"
+git-tree-sha1 = "8977f283a7d89c5d5c06c933467ed4af0a99f2f7"
 uuid = "4302a76b-040a-498a-8c04-15b101fed76b"
-version = "1.1.0"
+version = "1.2.0"
 
 [[deps.OrdinaryDiffEqExplicitRK]]
 deps = ["DiffEqBase", "FastBroadcast", "LinearAlgebra", "MuladdMacro", "OrdinaryDiffEqCore", "RecursiveArrayTools", "Reexport", "TruncatedStacktraces"]
@@ -1769,10 +1835,10 @@ uuid = "becaefa8-8ca2-5cf9-886d-c06f3d2bd2c4"
 version = "1.2.1"
 
 [[deps.OrdinaryDiffEqFIRK]]
-deps = ["DiffEqBase", "FastBroadcast", "FastPower", "GenericLinearAlgebra", "GenericSchur", "LinearAlgebra", "LinearSolve", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "OrdinaryDiffEqNonlinearSolve", "Polynomials", "RecursiveArrayTools", "Reexport", "RootedTrees", "SciMLOperators", "Symbolics"]
-git-tree-sha1 = "5735f4c094dff311f5064d1a351da9669e4647e3"
+deps = ["DiffEqBase", "FastBroadcast", "FastPower", "LinearAlgebra", "LinearSolve", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "OrdinaryDiffEqNonlinearSolve", "RecursiveArrayTools", "Reexport", "SciMLOperators"]
+git-tree-sha1 = "7a6e3996dc0850aee6cdc10c8afa377242fce702"
 uuid = "5960d6e9-dd7a-4743-88e7-cf307b64f125"
-version = "1.2.0"
+version = "1.5.0"
 
 [[deps.OrdinaryDiffEqFeagin]]
 deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "Polyester", "RecursiveArrayTools", "Reexport", "Static"]
@@ -1818,9 +1884,9 @@ version = "1.2.1"
 
 [[deps.OrdinaryDiffEqNonlinearSolve]]
 deps = ["ADTypes", "ArrayInterface", "DiffEqBase", "FastBroadcast", "FastClosures", "ForwardDiff", "LinearAlgebra", "LinearSolve", "MuladdMacro", "NonlinearSolve", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "PreallocationTools", "RecursiveArrayTools", "SciMLBase", "SciMLOperators", "SciMLStructures", "SimpleNonlinearSolve", "StaticArrays"]
-git-tree-sha1 = "e4be6539f4aaae8db1f29fcfdf6ef817df1f25cf"
+git-tree-sha1 = "5e1b316555fa95892edc13f6a429ac784d0be4dd"
 uuid = "127b3ac7-2247-4354-8eb6-78cf4e7c58e8"
-version = "1.2.2"
+version = "1.2.4"
 
 [[deps.OrdinaryDiffEqNordsieck]]
 deps = ["DiffEqBase", "FastBroadcast", "LinearAlgebra", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqTsit5", "Polyester", "RecursiveArrayTools", "Reexport", "Static"]
@@ -1854,9 +1920,9 @@ version = "1.1.0"
 
 [[deps.OrdinaryDiffEqRosenbrock]]
 deps = ["ADTypes", "DiffEqBase", "FastBroadcast", "FiniteDiff", "ForwardDiff", "LinearAlgebra", "LinearSolve", "MacroTools", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "Polyester", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "Static"]
-git-tree-sha1 = "96b47cdd12cb4ce8f70d701b49f855271a462bd4"
+git-tree-sha1 = "760a51a626d0065455847e4a3f788b07e86e5090"
 uuid = "43230ef6-c299-4910-a778-202eb28ce4ce"
-version = "1.2.0"
+version = "1.3.1"
 
 [[deps.OrdinaryDiffEqSDIRK]]
 deps = ["DiffEqBase", "FastBroadcast", "LinearAlgebra", "MacroTools", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "OrdinaryDiffEqNonlinearSolve", "RecursiveArrayTools", "Reexport", "SciMLBase", "TruncatedStacktraces"]
@@ -1969,9 +2035,9 @@ version = "1.4.3"
 
 [[deps.Plots]]
 deps = ["Base64", "Contour", "Dates", "Downloads", "FFMPEG", "FixedPointNumbers", "GR", "JLFzf", "JSON", "LaTeXStrings", "Latexify", "LinearAlgebra", "Measures", "NaNMath", "Pkg", "PlotThemes", "PlotUtils", "PrecompileTools", "Printf", "REPL", "Random", "RecipesBase", "RecipesPipeline", "Reexport", "RelocatableFolders", "Requires", "Scratch", "Showoff", "SparseArrays", "Statistics", "StatsBase", "TOML", "UUIDs", "UnicodeFun", "UnitfulLatexify", "Unzip"]
-git-tree-sha1 = "45470145863035bb124ca51b320ed35d071cc6c2"
+git-tree-sha1 = "dae01f8c2e069a683d3a6e17bbae5070ab94786f"
 uuid = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
-version = "1.40.8"
+version = "1.40.9"
 
     [deps.Plots.extensions]
     FileIOExt = "FileIO"
@@ -2006,10 +2072,10 @@ uuid = "1d0040c9-8b98-4ee7-8388-3f51789ca0ad"
 version = "0.2.2"
 
 [[deps.Polynomials]]
-deps = ["LinearAlgebra", "RecipesBase", "Requires", "Setfield", "SparseArrays"]
-git-tree-sha1 = "1a9cfb2dc2c2f1bd63f1906d72af39a79b49b736"
+deps = ["LinearAlgebra", "OrderedCollections", "RecipesBase", "Requires", "Setfield", "SparseArrays"]
+git-tree-sha1 = "adc25dbd4d13f148f3256b6d4743fe7e63a71c4a"
 uuid = "f27b6e38-b328-58d1-80ce-0feddd5e7a45"
-version = "4.0.11"
+version = "4.0.12"
 
     [deps.Polynomials.extensions]
     PolynomialsChainRulesCoreExt = "ChainRulesCore"
@@ -2292,16 +2358,6 @@ git-tree-sha1 = "58cdd8fb2201a6267e1db87ff148dd6c1dbd8ad8"
 uuid = "f50d1b31-88e8-58de-be2c-1cc44531875f"
 version = "0.5.1+0"
 
-[[deps.RootedTrees]]
-deps = ["LaTeXStrings", "Latexify", "LinearAlgebra", "Preferences", "RecipesBase", "Requires"]
-git-tree-sha1 = "c0c464d3063e46e4128d21fd677ca575ace44fdc"
-uuid = "47965b36-3f3e-11e9-0dcf-4570dfd42a8c"
-version = "2.23.1"
-weakdeps = ["Plots"]
-
-    [deps.RootedTrees.extensions]
-    PlotsExt = "Plots"
-
 [[deps.Roots]]
 deps = ["Accessors", "CommonSolve", "Printf"]
 git-tree-sha1 = "3a7c7e5c3f015415637f5debdf8a674aa2c979c4"
@@ -2351,9 +2407,9 @@ version = "2024.5.8+0"
 
 [[deps.SciMLBase]]
 deps = ["ADTypes", "Accessors", "ArrayInterface", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "EnumX", "Expronicon", "FunctionWrappersWrappers", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "Markdown", "PrecompileTools", "Preferences", "Printf", "RecipesBase", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLOperators", "SciMLStructures", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface"]
-git-tree-sha1 = "ad0d4e32b7adf6871f60c3379d76fdc231b434c8"
+git-tree-sha1 = "114a5eb8c060c9d801431985e9147832d5f3b845"
 uuid = "0bca4576-84f4-4d90-8ffe-ffa030f20462"
-version = "2.59.1"
+version = "2.63.0"
 
     [deps.SciMLBase.extensions]
     SciMLBaseChainRulesCoreExt = "ChainRulesCore"
@@ -2393,9 +2449,9 @@ weakdeps = ["SparseArrays", "StaticArraysCore"]
 
 [[deps.SciMLStructures]]
 deps = ["ArrayInterface"]
-git-tree-sha1 = "25514a6f200219cd1073e4ff23a6324e4a7efe64"
+git-tree-sha1 = "0444a37a25fab98adbd90baa806ee492a3af133a"
 uuid = "53ae85a6-f571-4167-b2af-e1d143709226"
-version = "1.5.0"
+version = "1.6.1"
 
 [[deps.Scratch]]
 deps = ["Dates"]
@@ -2441,22 +2497,22 @@ uuid = "777ac1f9-54b0-4bf8-805c-2214025038e7"
 version = "1.2.0"
 
 [[deps.SimpleNonlinearSolve]]
-deps = ["ADTypes", "ArrayInterface", "ConcreteStructs", "DiffEqBase", "DiffResults", "DifferentiationInterface", "FastClosures", "FiniteDiff", "ForwardDiff", "LinearAlgebra", "MaybeInplace", "PrecompileTools", "Reexport", "SciMLBase", "Setfield", "StaticArraysCore"]
-git-tree-sha1 = "44021f3efc023be3871195d8ad98b865001a2fa1"
+deps = ["ADTypes", "ArrayInterface", "BracketingNonlinearSolve", "CommonSolve", "ConcreteStructs", "DifferentiationInterface", "FastClosures", "FiniteDiff", "ForwardDiff", "LineSearch", "LinearAlgebra", "MaybeInplace", "NonlinearSolveBase", "PrecompileTools", "Reexport", "SciMLBase", "Setfield", "StaticArraysCore"]
+git-tree-sha1 = "f7e2042e0b68c6bb19a0a1594839792737f51d84"
 uuid = "727e6d20-b764-4bd8-a329-72de5adea6c7"
-version = "1.12.3"
+version = "2.0.0"
 
     [deps.SimpleNonlinearSolve.extensions]
     SimpleNonlinearSolveChainRulesCoreExt = "ChainRulesCore"
+    SimpleNonlinearSolveDiffEqBaseExt = "DiffEqBase"
     SimpleNonlinearSolveReverseDiffExt = "ReverseDiff"
     SimpleNonlinearSolveTrackerExt = "Tracker"
-    SimpleNonlinearSolveZygoteExt = "Zygote"
 
     [deps.SimpleNonlinearSolve.weakdeps]
     ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+    DiffEqBase = "2b5f629d-d688-5b77-993f-72d75c75574e"
     ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
     Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
-    Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
 
 [[deps.SimpleTraits]]
 deps = ["InteractiveUtils", "MacroTools"]
@@ -2484,26 +2540,6 @@ deps = ["Libdl", "LinearAlgebra", "Random", "Serialization", "SuiteSparse_jll"]
 uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
 version = "1.11.0"
 
-[[deps.SparseConnectivityTracer]]
-deps = ["ADTypes", "DocStringExtensions", "FillArrays", "LinearAlgebra", "Random", "SparseArrays"]
-git-tree-sha1 = "6914df6005bab9940e2a96879a97a43e1fb1ce78"
-uuid = "9f842d2f-2579-4b1d-911e-f412cf18a3f5"
-version = "0.6.8"
-
-    [deps.SparseConnectivityTracer.extensions]
-    SparseConnectivityTracerDataInterpolationsExt = "DataInterpolations"
-    SparseConnectivityTracerLogExpFunctionsExt = "LogExpFunctions"
-    SparseConnectivityTracerNNlibExt = "NNlib"
-    SparseConnectivityTracerNaNMathExt = "NaNMath"
-    SparseConnectivityTracerSpecialFunctionsExt = "SpecialFunctions"
-
-    [deps.SparseConnectivityTracer.weakdeps]
-    DataInterpolations = "82cc6244-b520-54b8-b5a6-8a565e85f1d0"
-    LogExpFunctions = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
-    NNlib = "872c559c-99b0-510c-b3b7-b6c96a88d5cd"
-    NaNMath = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3"
-    SpecialFunctions = "276daf66-3868-5448-9aa4-cd146d93841b"
-
 [[deps.SparseDiffTools]]
 deps = ["ADTypes", "Adapt", "ArrayInterface", "Compat", "DataStructures", "FiniteDiff", "ForwardDiff", "Graphs", "LinearAlgebra", "PackageExtensionCompat", "Random", "Reexport", "SciMLOperators", "Setfield", "SparseArrays", "StaticArrayInterface", "StaticArrays", "UnPack", "VertexSafeGraphs"]
 git-tree-sha1 = "b906758c107b049b6b71599b9f928d9b14e5554a"
@@ -2526,9 +2562,9 @@ version = "2.23.0"
 
 [[deps.SparseMatrixColorings]]
 deps = ["ADTypes", "DataStructures", "DocStringExtensions", "LinearAlgebra", "Random", "SparseArrays"]
-git-tree-sha1 = "670f2c8109e87d79788baef47880b946e529f1a2"
+git-tree-sha1 = "76b44c879661552d64f382acf66faa29ab56b3d9"
 uuid = "0a514795-09f3-496d-8182-132a7b665d35"
-version = "0.4.9"
+version = "0.4.10"
 weakdeps = ["Colors"]
 
     [deps.SparseMatrixColorings.extensions]
@@ -2636,9 +2672,9 @@ version = "0.15.7"
 
 [[deps.StochasticDiffEq]]
 deps = ["Adapt", "ArrayInterface", "DataStructures", "DiffEqBase", "DiffEqNoiseProcess", "DocStringExtensions", "FastPower", "FiniteDiff", "ForwardDiff", "JumpProcesses", "LevyArea", "LinearAlgebra", "Logging", "MuladdMacro", "NLsolve", "OrdinaryDiffEq", "Random", "RandomNumbers", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators", "SparseArrays", "SparseDiffTools", "StaticArrays", "UnPack"]
-git-tree-sha1 = "bf4bad73c80e058b1d53788ff520e10c8bad7c9d"
+git-tree-sha1 = "b1464027197ae535fd21e0c482ba23f768be72ff"
 uuid = "789caeaf-c7a9-5a7d-9973-96adeb23e2a0"
-version = "6.70.0"
+version = "6.71.0"
 
 [[deps.StrideArraysCore]]
 deps = ["ArrayInterface", "CloseOpenIntervals", "IfElse", "LayoutPointers", "LinearAlgebra", "ManualMemory", "SIMDTypes", "Static", "StaticArrayInterface", "ThreadingUtilities"]
@@ -2667,9 +2703,9 @@ version = "7.7.0+0"
 
 [[deps.SymbolicIndexingInterface]]
 deps = ["Accessors", "ArrayInterface", "RuntimeGeneratedFunctions", "StaticArraysCore"]
-git-tree-sha1 = "20cf607cafb31f922bce84d60379203e7a126911"
+git-tree-sha1 = "6c6761e08bf5a270905cdd065be633abfa1b155b"
 uuid = "2efcf032-c050-4f8e-a9bb-153293bab1f5"
-version = "0.3.34"
+version = "0.3.35"
 
 [[deps.SymbolicLimits]]
 deps = ["SymbolicUtils"]
@@ -2693,9 +2729,9 @@ version = "3.7.2"
 
 [[deps.Symbolics]]
 deps = ["ADTypes", "ArrayInterface", "Bijections", "CommonWorldInvalidations", "ConstructionBase", "DataStructures", "DiffRules", "Distributions", "DocStringExtensions", "DomainSets", "DynamicPolynomials", "IfElse", "LaTeXStrings", "Latexify", "Libdl", "LinearAlgebra", "LogExpFunctions", "MacroTools", "Markdown", "NaNMath", "PrecompileTools", "Primes", "RecipesBase", "Reexport", "RuntimeGeneratedFunctions", "SciMLBase", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArraysCore", "SymbolicIndexingInterface", "SymbolicLimits", "SymbolicUtils", "TermInterface"]
-git-tree-sha1 = "0caef7687abf7094132fa3112bf5514c36a99226"
+git-tree-sha1 = "ce9c95fc859007747a4faf10166201e0b10d4313"
 uuid = "0c5d862f-8b57-4792-8d23-62f2024744c7"
-version = "6.18.3"
+version = "6.22.0"
 
     [deps.Symbolics.extensions]
     SymbolicsForwardDiffExt = "ForwardDiff"
@@ -2917,9 +2953,9 @@ version = "1.4.2"
 
 [[deps.Widgets]]
 deps = ["Colors", "Dates", "Observables", "OrderedCollections"]
-git-tree-sha1 = "fcdae142c1cfc7d89de2d11e08721d0f2f86c98a"
+git-tree-sha1 = "e9aeb174f95385de31e70bd15fa066a505ea82b9"
 uuid = "cc8bc4a8-27d6-5769-a93b-9d913e69aa62"
-version = "0.6.6"
+version = "0.6.7"
 
 [[deps.WoodburyMatrices]]
 deps = ["LinearAlgebra", "SparseArrays"]
@@ -2934,9 +2970,9 @@ version = "1.6.1"
 
 [[deps.XML2_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Zlib_jll"]
-git-tree-sha1 = "6a451c6f33a176150f315726eba8b92fbfdb9ae7"
+git-tree-sha1 = "a2fccc6559132927d4c5dc183e3e01048c6dcbd6"
 uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a"
-version = "2.13.4+0"
+version = "2.13.5+0"
 
 [[deps.XSLT_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgcrypt_jll", "Libgpg_error_jll", "Libiconv_jll", "XML2_jll", "Zlib_jll"]