\[ y'(x)=\frac {y(x) \log (y(x)) \left (x^4 \log (y(x))+x+1\right )}{x (x+1)} \] ✓ Mathematica : cpu = 0.164176 (sec), leaf count = 41
\[\left \{\left \{y(x)\to \exp \left (-\frac {12 x}{3 x^4-4 x^3+6 x^2-12 x+12 \log (x+1)-12 c_1}\right )\right \}\right \}\] ✓ Maple : cpu = 0.313 (sec), leaf count = 38
\[ \left \{ y \left ( x \right ) ={{\rm e}^{-12\,{\frac {x}{3\,{x}^{4}-4\,{x}^{3}+6\,{x}^{2}+12\,\ln \left ( 1+x \right ) -12\,{\it \_C1}-12\,x}}}} \right \} \]