What is the solution for y^{''}=5y ?

The solution for y^{''}=5y is y=c_{1}e^{sqrt(5)t}+c_{2}e^{-sqrt(5)t}

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y^{''}=5y

y^{^{''}} = 5 y

y = c_{1} e^{5 t} + c_{2} e^{- 5 t}

Solution steps

y^{''} (t) = 5 y

Solve linear ODE:

y = c_{1} e^{5 t} + c_{2} e^{- 5 t}

y = c_{1} e^{5 t} + c_{2} e^{- 5 t}

\int_{a}^{b} 1 d x

\frac{d r}{d t} = - 2 t r

\frac{6}{s ^{2} + 4}

\int_{2}^{4} (2 - x^{2}) - (10 - 6 x) d x

y^{^{''}} - 3 y^{^{'}} + 2 y = e^{2 x}

What is the solution for y^{''}=5y ?
The solution for y^{''}=5y is y=c_{1}e^{sqrt(5)t}+c_{2}e^{-sqrt(5)t}