\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac {y \left( x \right)  \left( -1+\ln  \left( x \left( 1+x \right)  \right) y \left( x \right) {x}^{4}-\ln  \left( x \left( 1+x \right)  \right) {x}^{3} \right) }{x}}=0}
\]