What is the solution for xy^'+(11+x)y=e^{-x} ?

The solution for xy^'+(11+x)y=e^{-x} is y= 1/(11e^x)+(c_{1})/(e^xx^{11)}

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xy^'+(11+x)y=e^{-x}

x y^{^{'}} + (11 + x) y = e^{- x}

y = \frac{1}{11 e ^{x}} + \frac{c _{1}}{e ^{x} x ^{11}}

Solution steps

x y^{'} (x) + (11 + x) y = e^{- x}

Solve linear ODE:

y = \frac{1}{11 e ^{x}} + \frac{c _{1}}{e ^{x} x ^{11}}

y = \frac{1}{11 e ^{x}} + \frac{c _{1}}{e ^{x} x ^{11}}

What is the solution for xy^'+(11+x)y=e^{-x} ?
The solution for xy^'+(11+x)y=e^{-x} is y= 1/(11e^x)+(c_{1})/(e^xx^{11)}