\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac { \left ( \ln \left ( y \left ( x \right ) \right ) +x+{x}^{3}+{x}^{4} \right ) y \left ( x \right ) }{x}}=0} \]
Mathematica: cpu = 0.061508 (sec), leaf count = 30 \[ \left \{\left \{y(x)\to x^x e^{c_1 x+\frac {x^4}{3}+\frac {x^3}{2}}\right \}\right \} \]
Maple: cpu = 0.172 (sec), leaf count = 24 \[ \left \{ y \left ( x \right ) ={{\rm e}^{{\frac {{x}^{4}}{3}}}}{{\rm e}^ {{\frac {{x}^{3}}{2}}}}{{\rm e}^{{\it \_C1}\,x}}{x}^{x} \right \} \]