What is the solution for 2y^{'''}+15y^{''}+24y^'+11y=0 ?

The solution for 2y^{'''}+15y^{''}+24y^'+11y=0 is y=c_{1}e^{-(11t)/2}+c_{2}e^{-t}+c_{3}te^{-t}

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2y^{'''}+15y^{''}+24y^'+11y=0

2 y^{^{'''}} + 15 y^{^{''}} + 24 y^{^{'}} + 11 y = 0

y = c_{1} e^{- \frac{11 t}{2}} + c_{2} e^{- t} + c_{3} t e^{- t}

Solution steps

2 y^{'''} (t) + 15 y^{''} (t) + 24 y^{'} (t) + 11 y = 0

Solve linear ODE:

y = c_{1} e^{- \frac{11 t}{2}} + c_{2} e^{- t} + c_{3} t e^{- t}

y = c_{1} e^{- \frac{11 t}{2}} + c_{2} e^{- t} + c_{3} t e^{- t}

What is the solution for 2y^{'''}+15y^{''}+24y^'+11y=0 ?
The solution for 2y^{'''}+15y^{''}+24y^'+11y=0 is y=c_{1}e^{-(11t)/2}+c_{2}e^{-t}+c_{3}te^{-t}