\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac { \left ( -\ln \left ( y \left ( x \right ) \right ) x-\ln \left ( y \left ( x \right ) \right ) +{x}^{4} \right ) y \left ( x \right ) }{x \left ( 1+x \right ) }}=0} \]
Mathematica: cpu = 0.104013 (sec), leaf count = 50 \[ \left \{\left \{y(x)\to (x+1)^{\frac {1}{x}} e^{-\frac {c_1}{x}+\frac {x^3}{4}-\frac {x^2}{3}+\frac {x}{2}-\frac {25}{12 x}-1}\right \}\right \} \]
Maple: cpu = 0.093 (sec), leaf count = 36 \[ \left \{ y \left ( x \right ) ={{\rm e}^{{\frac {{x}^{3}}{4}}}}{{\rm e}^ {-{\frac {{x}^{2}}{3}}}}{{\rm e}^{{\frac {x}{2}}}}\sqrt [x]{1+x}{ {\rm e}^{{\frac {{\it \_C1}}{x}}}}{{\rm e}^{-1}} \right \} \]