What is the solution for y^{''''}-2y^{''}+y=11t+8 ?

The solution for y^{''''}-2y^{''}+y=11t+8 is y=c_{1}e^t+c_{2}te^t+c_{3}e^{-t}+c_{4}te^{-t}+11t+8

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y^{''''}-2y^{''}+y=11t+8

y^{^{''''}} - 2 y^{^{''}} + y = 11 t + 8

y = c_{1} e^{t} + c_{2} t e^{t} + c_{3} e^{- t} + c_{4} t e^{- t} + 11 t + 8

Solution steps

y^{(4)} (t) - 2 y^{''} (t) + y = 11 t + 8

Solve linear ODE:

y = c_{1} e^{t} + c_{2} t e^{t} + c_{3} e^{- t} + c_{4} t e^{- t} + 11 t + 8

y = c_{1} e^{t} + c_{2} t e^{t} + c_{3} e^{- t} + c_{4} t e^{- t} + 11 t + 8

What is the solution for y^{''''}-2y^{''}+y=11t+8 ?
The solution for y^{''''}-2y^{''}+y=11t+8 is y=c_{1}e^t+c_{2}te^t+c_{3}e^{-t}+c_{4}te^{-t}+11t+8