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