\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac {y \left( x \right) }{x} \left( -1-\cosh \left( {\frac {1+x}{x-1}} \right) x+\cosh \left( {\frac {1+x}{x-1}} \right) {x}^{2}y \left( x \right) -\cosh \left( {\frac {1+x}{x-1}} \right) {x}^{2}+\cosh \left( {\frac {1+x}{x-1}} \right) {x}^{3}y \left( x \right)  \right) }=0}
\]