\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac { \left ( -1+y \left ( x \right ) \ln \left ( x \right ) \right ) ^{3}}{ \left ( -1+y \left ( x \right ) \ln \left ( x \right ) -y \left ( x \right ) \right ) x}}=0} \]
Mathematica: cpu = 0 (sec), leaf count = 0 \[ \text {Hanged} \]
Maple: cpu = 0.063 (sec), leaf count = 104 \[ \left \{ y \left ( x \right ) ={\frac {47\,{\it RootOf} \left ( -27783\, \int ^{{\it \_Z}}\! \left ( 2209\,{{\it \_a}}^{3}-9261\,{\it \_a}+9261 \right ) ^{-1}{d{\it \_a}}-7\,\ln \left ( x \right ) +3\,{\it \_C1} \right ) -84}{47\,\ln \left ( x \right ) {\it RootOf} \left ( -27783\, \int ^{{\it \_Z}}\! \left ( 2209\,{{\it \_a}}^{3}-9261\,{\it \_a}+9261 \right ) ^{-1}{d{\it \_a}}-7\,\ln \left ( x \right ) +3\,{\it \_C1} \right ) -84\,\ln \left ( x \right ) -47\,{\it RootOf} \left ( -27783\, \int ^{{\it \_Z}}\! \left ( 2209\,{{\it \_a}}^{3}-9261\,{\it \_a}+9261 \right ) ^{-1}{d{\it \_a}}-7\,\ln \left ( x \right ) +3\,{\it \_C1} \right ) +21}} \right \} \]