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