What is the solution for (1-y)*e^y*y^'+(y^2)/(x*ln(x))=0 ?

The solution for (1-y)*e^y*y^'+(y^2)/(x*ln(x))=0 is y=-\W(1/(-ln(ln(x))+c_{1)})

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(1-y)e^yy^'+(y^2)/(x*ln(x))=0

(1 - y) \cdot e^{y} \cdot y^{^{'}} + \frac{y ^{2}}{x \cdot ln ( x )} = 0

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

Solution steps

(1 - y) \cdot e^{y} \cdot y^{'} (x) + \frac{y ^{2}}{x \cdot ln ( x )} = 0

Solve separable ODE:

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

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

What is the solution for (1-y)*e^y*y^'+(y^2)/(x*ln(x))=0 ?
The solution for (1-y)*e^y*y^'+(y^2)/(x*ln(x))=0 is y=-\W(1/(-ln(ln(x))+c_{1)})