\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =-{\frac {- \left ( y \left ( x \right ) \right ) ^{3}-y \left ( x \right ) +2\, \left ( y \left ( x \right ) \right ) ^{2}\ln \left ( x \right ) - \left ( \ln \left ( x \right ) \right ) ^{2} \left ( y \left ( x \right ) \right ) ^{3}-1+3\,y \left ( x \right ) \ln \left ( x \right ) -3\, \left ( \ln \left ( x \right ) \right ) ^{2} \left ( y \left ( x \right ) \right ) ^{2}+ \left ( \ln \left ( x \right ) \right ) ^{3} \left ( y \left ( x \right ) \right ) ^{3}}{xy \left ( x \right ) }}=0} \]
Mathematica: cpu = 0 (sec), leaf count = 0 \[ \text {Hanged} \]
Maple: cpu = 0.047 (sec), leaf count = 43 \[ \left \{ y \left ( x \right ) =9\, \left ( 9\,\ln \left ( x \right ) +56\, {\it RootOf} \left ( -81\,\int ^{{\it \_Z}}\! \left ( 3136\,{{\it \_a}}^ {3}-27\,{\it \_a}+27 \right ) ^{-1}{d{\it \_a}}-\ln \left ( x \right ) + 3\,{\it \_C1} \right ) -3 \right ) ^{-1} \right \} \]