# What is a solution to the differential equation e^x(y'+1)=1?

What is a solution to the differential equation ${e}^{x}\left(y\prime +1\right)=1$?
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altaryjny94
you can tell just by looking that this is separable, so we separate it out
${e}^{x}\left(y\prime +1\right)=1$
$y\prime +1={e}^{-x}$
$y\prime ={e}^{-x}-1$
integrate both sides

$y=-{e}^{-x}-x+C$