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