What is the solution for y^{''}+9y^'-10y=0 ?

The solution for y^{''}+9y^'-10y=0 is y=c_{1}e^t+c_{2}e^{-10t}

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y^{''}+9y^'-10y=0

y^{^{''}} + 9 y^{^{'}} - 10 y = 0

y = c_{1} e^{t} + c_{2} e^{- 10 t}

Solution steps

y^{''} (t) + 9 y^{'} (t) - 10 y = 0

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- 10 t}

y = c_{1} e^{t} + c_{2} e^{- 10 t}

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What is the solution for y^{''}+9y^'-10y=0 ?
The solution for y^{''}+9y^'-10y=0 is y=c_{1}e^t+c_{2}e^{-10t}