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