\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac {y \left ( x \right ) \left ( x-y \left ( x \right ) \right ) }{x \left ( x-y \left ( x \right ) - \left ( y \left ( x \right ) \right ) ^{3}- \left ( y \left ( x \right ) \right ) ^{4} \right ) }}=0} \]
Mathematica: cpu = 0.433555 (sec), leaf count = 37 \[ \text {Solve}\left [-\frac {1}{3} y(x)^3-\frac {y(x)^2}{2}-\frac {x}{y(x)}-\log (y(x))+\log (x)=c_1,y(x)\right ] \]
Maple: cpu = 0.109 (sec), leaf count = 38 \[ \left \{ y \left ( x \right ) ={{\rm e}^{{\it RootOf} \left ( 2\, \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{4}+3\, \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{3}-6\,\ln \left ( x \right ) {{\rm e}^{{\it \_Z}}}+6\,{\it \_C1}\,{{\rm e}^{{\it \_Z}}}+6\,{\it \_Z}\,{{\rm e}^{{\it \_Z}}}+6\,x \right ) }} \right \} \]