y'(x)=\frac{x^4 \coth \left(\frac{x+1}{x-1}\right)-2 x^2 y(x) \coth \left(\frac{x+1}{x-1}\right)+y(x)^2 \coth \left(\frac{x+1}{x-1}\right)+2 x \log \left(\frac{1}{x-1}\right)-\coth \left(\frac{x+1}{x-1}\right)}{\log \left(\frac{1}{x-1}\right)}