y'(x)=\frac{y(x) \left(x^3 y(x) \cosh \left(\frac{x+1}{x-1}\right)+x^2 y(x) \cosh \left(\frac{x+1}{x-1}\right)-x^2 \cosh \left(\frac{x+1}{x-1}\right)-x \cosh \left(\frac{x+1}{x-1}\right)-1\right)}{x}