\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) =2\,{\frac {a \left( - \left( y \left( x \right)  \right) ^{2}+4\,ax-1 \right) }{- \left( y \left( x \right)  \right) ^{3}+4\,axy \left( x \right) -y \left( x \right) -2\,a \left( y \left( x \right)  \right) ^{6}+24\, \left( y \left( x \right)  \right) ^{4}{a}^{2}x-96\, \left( y \left( x \right)  \right) ^{2}{a}^{3}{x}^{2}+128\,{a}^{4}{x}^{3}}}=0}
\]