\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac {y \left ( x \right ) \left ( y \left ( x \right ) +x \right ) }{x \left ( x+y \left ( x \right ) + \left ( y \left ( x \right ) \right ) ^{3}+ \left ( y \left ( x \right ) \right ) ^{4} \right ) }}=0} \]
Mathematica: cpu = 0.383049 (sec), leaf count = 39 \[ \text {Solve}\left [\frac {y(x)^3}{3}+\frac {y(x)^2}{2}+\log (y(x))-\frac {y(x) \log (x)+x}{y(x)}=c_1,y(x)\right ] \]
Maple: cpu = 0.109 (sec), leaf count = 38 \[ \left \{ y \left ( x \right ) ={{\rm e}^{{\it RootOf} \left ( -2\, \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{4}-3\, \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{3}+6\,\ln \left ( x \right ) {{\rm e}^{{\it \_Z}}}+6\, {\it \_C1}\,{{\rm e}^{{\it \_Z}}}-6\,{\it \_Z}\,{{\rm e}^{{\it \_Z}}}+ 6\,x \right ) }} \right \} \]