What is the solution for y^'=((3x^7e^{y/x}+x^5y^2))/(x^6y) ?

The solution for y^'=((3x^7e^{y/x}+x^5y^2))/(x^6y) is y=-\W((3ln(x)+c_{1})/e)x-x

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y^'=((3x^7e^{y/x}+x^5y^2))/(x^6y)

y^{^{'}} = \frac{( 3 x ^{7} e ^{\frac{y}{x}} + x ^{5} y ^{2} )}{x ^{6} y}

y = - W (\frac{3 ln ( x ) + c _{1}}{e}) x - x

Solution steps

y^{'} (x) = \frac{( 3 x ^{7} e ^{\frac{y}{x}} + x ^{5} y ^{2} )}{x ^{6} y}

Solve using substitution:

y = - W (\frac{3 ln ( x ) + c _{1}}{e}) x - x

y = - W (\frac{3 ln ( x ) + c _{1}}{e}) x - x

\frac{\partial}{\partial x} (\frac{1}{x + c t})

\int_{l n (2)}^{3} (5 e^{x}) d x

x \to 2 lim (x - 3)

\int_{0}^{1} (x^{2} - x^{3}) d x

x \to 0 lim (\frac{1 - cos ( 7 x )}{4 x ^{2}})

What is the solution for y^'=((3x^7e^{y/x}+x^5y^2))/(x^6y) ?
The solution for y^'=((3x^7e^{y/x}+x^5y^2))/(x^6y) is y=-\W((3ln(x)+c_{1})/e)x-x