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

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

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(dy)/(dx)=e^{-x}-y

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

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

Solution steps

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

Solve linear ODE:

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

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

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