What is the solution for (d^2y)/(dt^2)=150y ?

The solution for (d^2y)/(dt^2)=150y is y=c_{1}e^{5sqrt(6)t}+c_{2}e^{-5sqrt(6)t}

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(d^2y)/(dt^2)=150y

\frac{d ^{2} y}{d t ^{2}} = 150 y

y = c_{1} e^{56 t} + c_{2} e^{- 56 t}

Solution steps

\frac{d ^{2} y}{d t ^{2}} = 150 y

Solve linear ODE:

y = c_{1} e^{56 t} + c_{2} e^{- 56 t}

y = c_{1} e^{56 t} + c_{2} e^{- 56 t}

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What is the solution for (d^2y)/(dt^2)=150y ?
The solution for (d^2y)/(dt^2)=150y is y=c_{1}e^{5sqrt(6)t}+c_{2}e^{-5sqrt(6)t}