What is the solution for y^{''}+11y^'+18y=5 ?

The solution for y^{''}+11y^'+18y=5 is y=c_{1}e^{-2t}+c_{2}e^{-9t}+5/18

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y^{''}+11y^'+18y=5

y^{^{''}} + 11 y^{^{'}} + 18 y = 5

y = c_{1} e^{- 2 t} + c_{2} e^{- 9 t} + \frac{5}{18}

Solution steps

y^{''} (t) + 11 y^{'} (t) + 18 y = 5

Solve linear ODE:

y = c_{1} e^{- 2 t} + c_{2} e^{- 9 t} + \frac{5}{18}

y = c_{1} e^{- 2 t} + c_{2} e^{- 9 t} + \frac{5}{18}

What is the solution for y^{''}+11y^'+18y=5 ?
The solution for y^{''}+11y^'+18y=5 is y=c_{1}e^{-2t}+c_{2}e^{-9t}+5/18