\[ \boxed{ {\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac {-3\,{x}^{2}y \left( x \right) +1+{x}^{6} \left( y \left( x \right) \right) ^{2}+ \left( y \left( x \right) \right) ^{3}{x}^{9}}{{x}^{3}}}=0} \]