What is the solution for y^{''}=13*y ?

The solution for y^{''}=13*y is y=c_{1}e^{sqrt(13)t}+c_{2}e^{-sqrt(13)t}

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y^{''}=13*y

y^{^{''}} = 13 \cdot y

y = c_{1} e^{13 t} + c_{2} e^{- 13 t}

Solution steps

y^{''} (t) = 13 \cdot y

Solve linear ODE:

y = c_{1} e^{13 t} + c_{2} e^{- 13 t}

y = c_{1} e^{13 t} + c_{2} e^{- 13 t}

y^{^{''}} + 2 y^{^{'}} + 1 y = 0, y (0) = 6, y^{^{'}} (0) = - 1

y^{^{''}} - y^{^{'}} - 46 y^{^{'}} - 80 y = 0

y^{^{'}} + 4 y^{^{''}} - 5 y^{^{'}} = 0

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

y^{^{''}} - 21 y^{^{'}} + 110 y = 0

What is the solution for y^{''}=13*y ?
The solution for y^{''}=13*y is y=c_{1}e^{sqrt(13)t}+c_{2}e^{-sqrt(13)t}