\[ y'(x)=\frac {y(x) (y(x)+2 x+2)}{(x+1) (\log (y(x))+2 x-1)} \] ✓ Mathematica : cpu = 0.429635 (sec), leaf count = 29
\[\left \{\left \{y(x)\to \frac {W\left (e^{-2 x} (\log (x+1)+c_1)\right )}{\log (x+1)+c_1}\right \}\right \}\] ✓ Maple : cpu = 0.392 (sec), leaf count = 25
\[ \left \{ y \left ( x \right ) ={{\rm e}^{-{\it lambertW} \left ( \left ( \ln \left ( 1+x \right ) -{\it \_C1} \right ) {{\rm e}^{-2\,x}} \right ) -2\,x}} \right \} \]