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