\[ y'(x)=\frac {y(x) (y(x)+x+1)}{(x+1) \left (2 y(x)^3+y(x)+x\right )} \] ✓ Mathematica : cpu = 0.581529 (sec), leaf count = 27
\[\text {Solve}\left [y(x)^2-\frac {x}{y(x)}+\log (y(x))-\log (x+1)=c_1,y(x)\right ]\] ✓ Maple : cpu = 0.361 (sec), leaf count = 30
\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\it RootOf} \left ( - \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{3}+\ln \left ( 1+x \right ) {{\rm e}^{{\it \_Z}}}+{{\rm e}^{{\it \_Z}}}{\it \_C1}-{\it \_Z}\,{{\rm e}^{{\it \_Z}}}+x \right ) }} \right \} \]