What is the solution for y^'+6/(x^2)y=x^{10}e^{6/x} ?

The solution for y^'+6/(x^2)y=x^{10}e^{6/x} is y=(x^{11})/(11e^{-6/x)}+c_{1}e^{6/x}

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y^'+6/(x^2)y=x^{10}e^{6/x}

y^{^{'}} + \frac{6}{x ^{2}} y = x^{10} e^{\frac{6}{x}}

y = \frac{x ^{11}}{11 e ^{- \frac{6}{x}}} + c_{1} e^{\frac{6}{x}}

Solution steps

y^{'} (x) + \frac{6}{x ^{2}} y = x^{10} e^{\frac{6}{x}}

Solve linear ODE:

y = \frac{x ^{11}}{11 e ^{- \frac{6}{x}}} + c_{1} e^{\frac{6}{x}}

y = \frac{x ^{11}}{11 e ^{- \frac{6}{x}}} + c_{1} e^{\frac{6}{x}}

What is the solution for y^'+6/(x^2)y=x^{10}e^{6/x} ?
The solution for y^'+6/(x^2)y=x^{10}e^{6/x} is y=(x^{11})/(11e^{-6/x)}+c_{1}e^{6/x}