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