Verify that the function `y=e^(-3x)`is a solution of the differential equation `(d^2y)/(dx^2)+(dy)/(dx)-6y=0`

Explanation

To verify that the function \( y = e^{-3x} \) is a solution of the differential equation

\[ \frac{d^2y}{dx^2} + \frac{dy}{dx} - 6y = 0, \]

we will follow these steps:

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