What is the solution for x(dy)/(dx)+(11+x)y=e^{-x} ?

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

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x(dy)/(dx)+(11+x)y=e^{-x}

x \frac{d y}{d x} + (11 + x) y = e^{- x}

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

Solution steps

x \frac{d y}{d 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}}

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