\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac {1+ \left( y \left( x \right)  \right) ^{4}-8\,ax \left( y \left( x \right)  \right) ^{2}+16\,{a}^{2}{x}^{2}+ \left( y \left( x \right)  \right) ^{6}-12\, \left( y \left( x \right)  \right) ^{4}ax+48\, \left( y \left( x \right)  \right) ^{2}{a}^{2}{x}^{2}-64\,{a}^{3}{x}^{3}}{y \left( x \right) }}=0}
\]