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

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

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

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

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

Solution steps

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

Solve linear ODE:

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

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

\frac{d}{d x} (7 e^{x} + x)

\int \frac{x ^{2} + 3 x - 1}{x} d x

x \to 9 lim (13 - x)

\frac{d}{d x} (\frac{x ^{2}}{6})

\frac{d}{d x} (27)

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