\[ \boxed{ {\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac {-18\,xy \left( x \right) -6\,{x}^{3}-18\,x+27\, \left( y \left( x \right) \right) ^{3}+27\,{x}^{2} \left( y \left( x \right) \right) ^{2}+9\,y \left( x \right) {x}^{4}+{x}^{6}}{27\,y \left( x \right) +9\,{x}^{2}+27}}=0} \]