\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac {{x}^{2}y \left( x \right) +{x}^{4}+2\,{x}^{3}-3\,{x}^{2}+xy \left( x \right) +x+ \left( y \left( x \right)  \right) ^{3}+3\,{x}^{2} \left( y \left( x \right)  \right) ^{2}-3\,x \left( y \left( x \right)  \right) ^{2}+3\,y \left( x \right) {x}^{4}-6\,{x}^{3}y \left( x \right) +{x}^{6}-3\,{x}^{5}}{x \left( y \left( x \right) +{x}^{2}-x+1 \right) }}=0}
\]