\[ y'(x)=\frac {x^2 \coth (x+1)+2 x y(x) \coth (x+1)+y(x)^2 \coth (x+1)-\log (x-1)+\coth (x+1)}{\log (x-1)} \] ✗ Mathematica : cpu = 300.007 (sec), leaf count = 0 , timed out
$Aborted
✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve
dsolve(diff(y(x),x) = -(ln(x-1)-coth(1+x)*x^2-2*coth(1+x)*x*y(x)-coth(1+x)-coth(1+x)*y(x)^2)/ln(x-1),y(x))