\[ y'(x)=\frac {y(x) (y(x)+x+1)}{(x+1) \left (2 y(x)^3+y(x)+x\right )} \] ✓ Mathematica : cpu = 0.62424 (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 = 0.208 (sec), leaf count = 30
\[\{y \left (x \right ) = {\mathrm e}^{\RootOf \left (c_{1} {\mathrm e}^{\textit {\_Z}}-\textit {\_Z} \,{\mathrm e}^{\textit {\_Z}}+{\mathrm e}^{\textit {\_Z}} \ln \left (x +1\right )+x -{\mathrm e}^{3 \textit {\_Z}}\right )}\}\]