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

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

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y^'=((y((x))/x)^2)/((-1+y((x))/x))

y^{^{'}} = \frac{( y \frac{( x )}{x} ) ^{2}}{( - 1 + y \frac{( x )}{x} )}

y = - \frac{1}{W ( - \frac{1}{e ^{c_{1} + x}} )}

Solution steps

y^{'} (x) = \frac{( y \frac{( x )}{x} ) ^{2}}{( - 1 + y \frac{( x )}{x} )}

Solve separable ODE:

y = - \frac{1}{W ( - \frac{1}{e ^{c_{1} + x}} )}

y = - \frac{1}{W ( - \frac{1}{e ^{c_{1} + x}} )}

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