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