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[Solow] Update context
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SylviaZhaooo committed Apr 27, 2024
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Expand Up @@ -385,9 +385,7 @@ linear differential equation
x'_t = (1-\alpha) (sA - \delta x_t)
```

To solve this equation, we need the [first ODE](https://math.libretexts.org/Bookshelves/Calculus/Calculus_(Guichard)/17%3A_Differential_Equations/17.01%3A_First_Order_Differential_Equations).

This equation has the exact solution
This equation, which is a [linear ordinary differential equation](https://math.libretexts.org/Bookshelves/Calculus/Calculus_(Guichard)/17%3A_Differential_Equations/17.01%3A_First_Order_Differential_Equations), has the solution

$$
x_t
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