\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac { \left ( 2\,y \left ( x \right ) \ln \left ( x \right ) -1 \right ) ^{3}}{ \left ( -1+2\,y \left ( x \right ) \ln \left ( x \right ) -y \left ( x \right ) \right ) x}}=0} \]
Mathematica: cpu = 0 (sec), leaf count = 0 \[ \text {Hanged} \]
Maple: cpu = 0.062 (sec), leaf count = 104 \[ \left \{ y \left ( x \right ) ={\frac {71\,{\it RootOf} \left ( -82944\, \int ^{{\it \_Z}}\! \left ( 5041\,{{\it \_a}}^{3}-27648\,{\it \_a}+ 27648 \right ) ^{-1}{d{\it \_a}}-16\,\ln \left ( x \right ) +3\,{\it \_C1} \right ) -120}{142\,\ln \left ( x \right ) {\it RootOf} \left ( - 82944\,\int ^{{\it \_Z}}\! \left ( 5041\,{{\it \_a}}^{3}-27648\,{\it \_a}+27648 \right ) ^{-1}{d{\it \_a}}-16\,\ln \left ( x \right ) +3\,{ \it \_C1} \right ) -240\,\ln \left ( x \right ) -71\,{\it RootOf} \left ( -82944\,\int ^{{\it \_Z}}\! \left ( 5041\,{{\it \_a}}^{3}-27648 \,{\it \_a}+27648 \right ) ^{-1}{d{\it \_a}}-16\,\ln \left ( x \right ) +3\,{\it \_C1} \right ) +48}} \right \} \]