\[ y'(x)=\frac {y(x) \left (x^4+x \log (y(x))+\log (y(x))\right )}{x (x+1)} \] ✓ Mathematica : cpu = 0.175678 (sec), leaf count = 30
\[\left \{\left \{y(x)\to (x+1)^x e^{\frac {x^3}{2}-x^2+c_1 x}\right \}\right \}\] ✓ Maple : cpu = 0.208 (sec), leaf count = 26
\[y \relax (x ) = {\mathrm e}^{\frac {x^{3}}{2}} \left (1+x \right )^{x} {\mathrm e}^{x c_{1}} {\mathrm e}^{-x^{2}}\]