What is the solution for y^{''}+y^'-56y=0 ?

The solution for y^{''}+y^'-56y=0 is y=c_{1}e^{7t}+c_{2}e^{-8t}

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y^{''}+y^'-56y=0

y^{^{''}} + y^{^{'}} - 56 y = 0

y = c_{1} e^{7 t} + c_{2} e^{- 8 t}

Solution steps

y^{''} (t) + y^{'} (t) - 56 y = 0

Solve linear ODE:

y = c_{1} e^{7 t} + c_{2} e^{- 8 t}

y = c_{1} e^{7 t} + c_{2} e^{- 8 t}

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What is the solution for y^{''}+y^'-56y=0 ?
The solution for y^{''}+y^'-56y=0 is y=c_{1}e^{7t}+c_{2}e^{-8t}