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