\[ \boxed{ {\frac {\rm d}{{\rm d}x}}y \left( x \right) =2\,{\frac { \left( y \left( x \right) \right) ^{6}}{ \left( y \left( x \right) \right) ^{3}+2+16\,x \left( y \left( x \right) \right) ^{2}+32\,{x}^{2} \left( y \left( x \right) \right) ^{4}}}=0} \]