\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac { \left ( x+1+{x}^{4}\ln \left ( y \left ( x \right ) \right ) \right ) y \left ( x \right ) \ln \left ( y \left ( x \right ) \right ) }{x \left ( 1+x \right ) }}=0} \]
Mathematica: cpu = 0.109014 (sec), leaf count = 41 \[ \left \{\left \{y(x)\to \exp \left (-\frac {12 x}{-12 c_1+3 x^4-4 x^3+6 x^2-12 x+12 \log (x+1)}\right )\right \}\right \} \]
Maple: cpu = 0.125 (sec), leaf count = 38 \[ \left \{ y \left ( x \right ) ={{\rm e}^{-12\,{\frac {x}{3\,{x}^{4}-4\,{ x}^{3}+6\,{x}^{2}+12\,\ln \left ( 1+x \right ) -12\,{\it \_C1}-12\,x}}} } \right \} \]