\[ y'(x)=\frac {y(x) (y(x)+x+1)}{(x+1) \left (2 y(x)^3+y(x)+x\right )} \] ✓ Mathematica : cpu = 0.712421 (sec), leaf count = 25
\[\text {Solve}\left [c_1+\frac {x}{y(x)}+\log (x+1)=y(x)^2+\log (y(x)),y(x)\right ]\]
✓ Maple : cpu = 0.148 (sec), leaf count = 30
\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\it RootOf} \left ( - \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{3}+\ln \left ( 1+x \right ) {{\rm e}^{{\it \_Z}}}+{{\rm e}^{{\it \_Z}}}{\it \_C1}-{\it \_Z}\,{{\rm e}^{{\it \_Z}}}+x \right ) }} \right \} \]