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