\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac {-128\,xy \left( x \right) -24\,{x}^{3}+32\,{x}^{2}-128\,x+512\, \left( y \left( x \right)  \right) ^{3}+192\,{x}^{2} \left( y \left( x \right)  \right) ^{2}-384\,x \left( y \left( x \right)  \right) ^{2}+24\,y \left( x \right) {x}^{4}-96\,{x}^{3}y \left( x \right) +96\,{x}^{2}y \left( x \right) +{x}^{6}-6\,{x}^{5}+12\,{x}^{4}}{512\,y \left( x \right) +64\,{x}^{2}-128\,x+512}}=0}
\]