What is the solution for (dy)/(dt)+4y=2e^{-3t} ?

The solution for (dy)/(dt)+4y=2e^{-3t} is y= 2/(e^{3t)}+(c_{1})/(e^{4t)}

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(dy)/(dt)+4y=2e^{-3t}

\frac{d y}{d t} + 4 y = 2 e^{- 3 t}

y = \frac{2}{e ^{3 t}} + \frac{c _{1}}{e ^{4 t}}

Solution steps

\frac{d y}{d t} + 4 y = 2 e^{- 3 t}

Solve linear ODE:

y = \frac{2}{e ^{3 t}} + \frac{c _{1}}{e ^{4 t}}

y = \frac{2}{e ^{3 t}} + \frac{c _{1}}{e ^{4 t}}

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What is the solution for (dy)/(dt)+4y=2e^{-3t} ?
The solution for (dy)/(dt)+4y=2e^{-3t} is y= 2/(e^{3t)}+(c_{1})/(e^{4t)}