\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac {-32\,xy \left( x \right) +16\,{x}^{3}+16\,{x}^{2}-32\,x-64\, \left( y \left( x \right)  \right) ^{3}+48\,{x}^{2} \left( y \left( x \right)  \right) ^{2}+96\,x \left( y \left( x \right)  \right) ^{2}-12\,y \left( x \right) {x}^{4}-48\,{x}^{3}y \left( x \right) -48\,{x}^{2}y \left( x \right) +{x}^{6}+6\,{x}^{5}+12\,{x}^{4}}{-64\,y \left( x \right) +16\,{x}^{2}+32\,x-64}}=0}
\]