\[ y'(x)=\frac {y(x) \left (x^4+x \log (y(x))+\log (y(x))\right )}{x (x+1)} \] ✓ Mathematica : cpu = 0.169177 (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 = 0.299 (sec), leaf count = 26
\[ \left \{ y \left ( x \right ) ={\frac { \left ( 1+x \right ) ^{x}{{\rm e}^{{\it \_C1}\,x}}}{{{\rm e}^{{x}^{2}}}}{{\rm e}^{{\frac {{x}^{3}}{2}}}}} \right \} \]