What is the solution for y^{''}=ky ?

The solution for y^{''}=ky is y=c_{1}e^{sqrt(k)t}+c_{2}e^{-sqrt(k)t}

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y^{''}=ky

y^{^{''}} = k y

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

Solution steps

y^{''} (t) = k y (t)

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What is the solution for y^{''}=ky ?
The solution for y^{''}=ky is y=c_{1}e^{sqrt(k)t}+c_{2}e^{-sqrt(k)t}