\[ y'(x)=\frac {y(x)^2+x y(x)+x}{(x-1) (y(x)+x)} \] ✓ Mathematica : cpu = 0.151525 (sec), leaf count = 61
\[\text {Solve}\left [\frac {1}{2} \log \left (\frac {y(x)^2}{x^2}+\frac {y(x)}{x}+1\right )+\frac {\tan ^{-1}\left (\frac {\frac {2 y(x)}{x}+1}{\sqrt {3}}\right )}{\sqrt {3}}=\log (1-x)-\log (x)+c_1,y(x)\right ]\] ✓ Maple : cpu = 1.102 (sec), leaf count = 48
\[ \left \{ y \left ( x \right ) =-{\frac {x}{2}}+{\frac {\sqrt {3}x}{2}\tan \left ( {\it RootOf} \left ( -\sqrt {3}\ln \left ( {\frac {3\,{x}^{2} \left ( \left ( \tan \left ( {\it \_Z} \right ) \right ) ^{2}+1 \right ) }{4\, \left ( x-1 \right ) ^{2}}} \right ) +2\,\sqrt {3}{\it \_C1}-2\,{\it \_Z} \right ) \right ) } \right \} \]