What is the solution for (d^2y)/(dt^2)-e^2y=0 ?

The solution for (d^2y)/(dt^2)-e^2y=0 is y=c_{1}e^{et}+c_{2}e^{-et}

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(d^2y)/(dt^2)-e^2y=0

\frac{d ^{2} y}{d t ^{2}} - e^{2} y = 0

y = c_{1} e^{e t} + c_{2} e^{- e t}

Solution steps

\frac{d ^{2} y}{d t ^{2}} - e^{2} y = 0

Solve linear ODE:

y = c_{1} e^{e t} + c_{2} e^{- e t}

y = c_{1} e^{e t} + c_{2} e^{- e t}

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What is the solution for (d^2y)/(dt^2)-e^2y=0 ?
The solution for (d^2y)/(dt^2)-e^2y=0 is y=c_{1}e^{et}+c_{2}e^{-et}