\[ \boxed{ {\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac {-8\,xy \left( x \right) -{x}^{3}+2\,{x}^{2}-8\,x+32}{32\,y \left( x \right) +4\,{x}^{2}-8\,x+32}}=0} \]