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