\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac { \left ( \ln \left ( y \left ( x \right ) \right ) x+\ln \left ( y \left ( x \right ) \right ) +{x}^{4} \right ) y \left ( x \right ) }{x \left ( 1+x \right ) }}=0} \]
Mathematica: cpu = 0.078010 (sec), leaf count = 30 \[ \left \{\left \{y(x)\to (x+1)^x e^{c_1 x+\frac {x^3}{2}-x^2}\right \}\right \} \]
Maple: cpu = 0.093 (sec), leaf count = 26 \[ \left \{ y \left ( x \right ) ={\frac { \left ( 1+x \right ) ^{x}{{\rm e}^ {{\it \_C1}\,x}}}{{{\rm e}^{{x}^{2}}}}{{\rm e}^{{\frac {{x}^{3}}{2}}}} } \right \} \]