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Verify that y = e^(-2x) is a solution of...

Verify that `y = e^(-2x)` is a solution of the differential equation `y''' + 4y'' + 3y' - 2y = 0`.

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To verify that \( y = e^{-2x} \) is a solution of the differential equation \( y''' + 4y'' + 3y' - 2y = 0 \), we will follow these steps: ### Step 1: Find the first derivative \( y' \) Given: \[ y = e^{-2x} \] To find \( y' \), we differentiate \( y \) with respect to \( x \): ...
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