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

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

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

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

y = c_{1} e^{- t} + c_{2} e^{- 9 t} + 1

Solution steps

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

Solve linear ODE:

y = c_{1} e^{- t} + c_{2} e^{- 9 t} + 1

y = c_{1} e^{- t} + c_{2} e^{- 9 t} + 1

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