\[ y'(x)=\frac {x^3 y(x)+x^3+x y(x)^2+y(x)^3}{(x-1) x^3} \] ✓ Mathematica : cpu = 0.166378 (sec), leaf count = 57
\[\text {Solve}\left [-\frac {1}{4} \log \left (\frac {y(x)^2}{x^2}+1\right )+\frac {1}{2} \log \left (\frac {y(x)}{x}+1\right )+\frac {1}{2} \tan ^{-1}\left (\frac {y(x)}{x}\right )=\log (1-x)-\log (x)+c_1,y(x)\right ]\] ✓ Maple : cpu = 0.088 (sec), leaf count = 50
\[\frac {\ln \left (\frac {y \relax (x )+x}{x}\right )}{2}-\frac {\ln \left (\frac {y \relax (x )^{2}+x^{2}}{x^{2}}\right )}{4}+\frac {\arctan \left (\frac {y \relax (x )}{x}\right )}{2}-\ln \left (x -1\right )+\ln \relax (x )-c_{1} = 0\]