What is the solution for y^{''}-y=e^{-x} ?

The solution for y^{''}-y=e^{-x} is y=c_{1}e^x+c_{2}e^{-x}-(e^{-x}x)/2

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y^{''}-y=e^{-x}

y^{^{''}} - y = e^{- x}

y = c_{1} e^{x} + c_{2} e^{- x} - \frac{e ^{- x} x}{2}

Solution steps

y^{''} (x) - y = e^{- x}

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y = c_{1} e^{x} + c_{2} e^{- x} - \frac{e ^{- x} x}{2}

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What is the solution for y^{''}-y=e^{-x} ?
The solution for y^{''}-y=e^{-x} is y=c_{1}e^x+c_{2}e^{-x}-(e^{-x}x)/2