\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =-{\frac {\ln \left ( x-1 \right ) -\coth \left ( 1+x \right ) {x}^{2}-2\,\coth \left ( 1+x \right ) xy \left ( x \right ) -\coth \left ( 1+x \right ) -\coth \left ( 1+x \right ) \left ( y \left ( x \right ) \right ) ^{2}}{\ln \left ( x-1 \right ) }}=0} \]
Mathematica: cpu = 0 (sec), leaf count = 0 \[ \text {Hanged} \]
Maple: cpu = 0 (sec), leaf count = 0 \[ \text {hanged} \]