What is the solution for y^'=(4x^7e^{y/x}+x^5y^2)/(x^6y) ?

The solution for y^'=(4x^7e^{y/x}+x^5y^2)/(x^6y) is y=-\W((4ln(x)+c_{1})/e)x-x

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y^'=(4x^7e^{y/x}+x^5y^2)/(x^6y)

y^{^{'}} = \frac{4 x ^{7} e ^{\frac{y}{x}} + x ^{5} y ^{2}}{x ^{6} y}

y = - W (\frac{4 ln ( x ) + c _{1}}{e}) x - x

Solution steps

y^{'} (x) = \frac{4 x ^{7} e ^{\frac{y}{x}} + x ^{5} y ^{2}}{x ^{6} y}

Solve using substitution:

y = - W (\frac{4 ln ( x ) + c _{1}}{e}) x - x

y = - W (\frac{4 ln ( x ) + c _{1}}{e}) x - x

\frac{d}{d x} (\frac{sin ( x )}{ln ( x )})

\frac{d}{d x} (arctan (2 x^{2} - 4))

y^{^{''}} - 8 y^{^{'}} + 16 = 0

x \to π lim ((π - x) cot (x))

(e^{- 1}) (sin (2 t))

What is the solution for y^'=(4x^7e^{y/x}+x^5y^2)/(x^6y) ?
The solution for y^'=(4x^7e^{y/x}+x^5y^2)/(x^6y) is y=-\W((4ln(x)+c_{1})/e)x-x