\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =-1/8\, \left ( -\ln \left ( -1+y \left ( x \right ) \right ) +\ln \left ( 1+y \left ( x \right ) \right ) +2\,\ln \left ( x \right ) \right ) x \left ( 1+y \left ( x \right ) \right ) ^{2}=0} \]
Mathematica: cpu = 0 (sec), leaf count = 0 \[ \text {Hanged} \]
Maple: cpu = 0.405 (sec), leaf count = 65 \[ \left \{ \int _{{\it \_b}}^{y \left ( x \right ) }\!{\frac {1}{2\,{\it \_a}+2} \left ( -{\frac {{x}^{2} \left ( {\it \_a}+1 \right ) \ln \left ( {\it \_a}-1 \right ) }{2}}+{\frac {{x}^{2} \left ( {\it \_a}+1 \right ) \ln \left ( {\it \_a}+1 \right ) }{2}}+{x}^{2} \left ( {\it \_a }+1 \right ) \ln \left ( x \right ) +4\,{\it \_a}-4 \right ) ^{-1}} \,{\rm d}{\it \_a}+{\frac {\ln \left ( x \right ) }{8}}-{\it \_C1}=0 \right \} \]