What is the solution for y^'=(6x^4e^{y/x}+x^2y^2)/(x^3y) ?

The solution for y^'=(6x^4e^{y/x}+x^2y^2)/(x^3y) is y=-\W((6ln(x)+c_{1})/e)x-x

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y^'=(6x^4e^{y/x}+x^2y^2)/(x^3y)

y^{^{'}} = \frac{6 x ^{4} e ^{\frac{y}{x}} + x ^{2} y ^{2}}{x ^{3} y}

y = - W (\frac{6 ln ( x ) + c _{1}}{e}) x - x

Solution steps

y^{'} (x) = \frac{6 x ^{4} e ^{\frac{y}{x}} + x ^{2} y ^{2}}{x ^{3} y}

Solve using substitution:

y = - W (\frac{6 ln ( x ) + c _{1}}{e}) x - x

y = - W (\frac{6 ln ( x ) + c _{1}}{e}) x - x

2 x^{3} + 2 x - 1

z \to - 1 + 2 i lim (\frac{z}{z + 1 + 2 i})

\frac{d}{d x} (- \frac{x ^{2}}{y ^{2}})

m \to 0 lim (\frac{m}{m ^{2} + 4 m})

\int e^{4 x - 3} d x

What is the solution for y^'=(6x^4e^{y/x}+x^2y^2)/(x^3y) ?
The solution for y^'=(6x^4e^{y/x}+x^2y^2)/(x^3y) is y=-\W((6ln(x)+c_{1})/e)x-x