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