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

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

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

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

y = - W (\frac{ln ( x ) + c _{1}}{e}) x - x

Solution steps

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

Solve using substitution:

y = - W (\frac{ln ( x ) + c _{1}}{e}) x - x

y = - W (\frac{ln ( x ) + c _{1}}{e}) x - x

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