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

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

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

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

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

Solution steps

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

Solve linear ODE:

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

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

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\int \frac{x ^{2} + 9 x + 1}{( x ^{2} + 1 ) ^{2}} d x

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\frac{\partial}{\partial x} (8 x^{3} - 24 x y + y^{3})

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