\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =-{\frac {- \left ( y \left ( x \right ) \right ) ^{3}-y \left ( x \right ) +4\, \left ( y \left ( x \right ) \right ) ^{2}\ln \left ( x \right ) -4\, \left ( \ln \left ( x \right ) \right ) ^{2} \left ( y \left ( x \right ) \right ) ^{3}-1+6\,y \left ( x \right ) \ln \left ( x \right ) -12\, \left ( \ln \left ( x \right ) \right ) ^{2} \left ( y \left ( x \right ) \right ) ^{2}+8\, \left ( \ln \left ( x \right ) \right ) ^{3} \left ( y \left ( x \right ) \right ) ^{3}}{xy \left ( x \right ) }}=0} \]
Mathematica: cpu = 0 (sec), leaf count = 0 \[ \text {Hanged} \]
Maple: cpu = 0.046 (sec), leaf count = 43 \[ \left \{ y \left ( x \right ) =9\, \left ( 18\,\ln \left ( x \right ) +83 \,{\it RootOf} \left ( -81\,\int ^{{\it \_Z}}\! \left ( 6889\,{{\it \_a} }^{3}-27\,{\it \_a}+27 \right ) ^{-1}{d{\it \_a}}-\ln \left ( x \right ) +3\,{\it \_C1} \right ) -3 \right ) ^{-1} \right \} \]