\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac {-32\,xy \left( x \right) -8\,{x}^{3}-16\,a{x}^{2}-32\,x+64\, \left( y \left( x \right)  \right) ^{3}+48\,{x}^{2} \left( y \left( x \right)  \right) ^{2}+96\,ax \left( y \left( x \right)  \right) ^{2}+12\,y \left( x \right) {x}^{4}+48\,y \left( x \right) a{x}^{3}+48\,{a}^{2}{x}^{2}y \left( x \right) +{x}^{6}+6\,{x}^{5}a+12\,{a}^{2}{x}^{4}+8\,{a}^{3}{x}^{3}}{64\,y \left( x \right) +16\,{x}^{2}+32\,ax+64}}=0}
\]