What is the solution for (d^2y)/(dt^2)+8(dy)/(dt)+15y=3 ?

The solution for (d^2y)/(dt^2)+8(dy)/(dt)+15y=3 is y=c_{1}e^{-3t}+c_{2}e^{-5t}+1/5

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(d^2y)/(dt^2)+8(dy)/(dt)+15y=3

\frac{d ^{2} y}{d t ^{2}} + 8 \frac{d y}{d t} + 15 y = 3

y = c_{1} e^{- 3 t} + c_{2} e^{- 5 t} + \frac{1}{5}

Solution steps

\frac{d ^{2} y}{d t ^{2}} + 8 \frac{d y}{d t} + 15 y = 3

Solve linear ODE:

y = c_{1} e^{- 3 t} + c_{2} e^{- 5 t} + \frac{1}{5}

y = c_{1} e^{- 3 t} + c_{2} e^{- 5 t} + \frac{1}{5}

What is the solution for (d^2y)/(dt^2)+8(dy)/(dt)+15y=3 ?
The solution for (d^2y)/(dt^2)+8(dy)/(dt)+15y=3 is y=c_{1}e^{-3t}+c_{2}e^{-5t}+1/5