\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac {2\,{x}^{2}y \left ( x \right ) +{x}^{3}+y \left ( x \right ) \ln \left ( x \right ) x- \left ( y \left ( x \right ) \right ) ^{2}-xy \left ( x \right ) }{{x}^{2} \left ( x+\ln \left ( x \right ) \right ) }}=0} \]
Mathematica: cpu = 0 (sec), leaf count = 0 \[ \text {Hanged} \]
Maple: cpu = 0.109 (sec), leaf count = 19 \[ \left \{ y \left ( x \right ) ={\frac {x \left ( x{\it \_C1}-1 \right ) }{ {\it \_C1}\,\ln \left ( x \right ) +1}} \right \} \]