Verify that the function $y = e^{- 3 x}$ is a solution of the differential equation $\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} - 6 y = 0$

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Verify that the function

y = e^{- 3 x}

is a solution of the differential equation

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} - 6 y = 0

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Question Text

Verify that the function

y = e^{- 3 x}

is a solution of the differential equation

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} - 6 y = 0

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