\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac {y \left( x \right) +\ln  \left(  \left( 1+x \right)  \left( x-1 \right)  \right) {x}^{3}+7\,\ln  \left(  \left( 1+x \right)  \left( x-1 \right)  \right) x \left( y \left( x \right)  \right) ^{2}}{x}}=0}
\]