\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) =-1/2\,ax+1+ \left( y \left( x \right)  \right) ^{2}+1/2\,a{x}^{2}y \left( x \right) +bxy \left( x \right) +1/16\,{a}^{2}{x}^{4}+1/4\,a{x}^{3}b+1/4\,{b}^{2}{x}^{2}+ \left( y \left( x \right)  \right) ^{3}+3/4\,a{x}^{2} \left( y \left( x \right)  \right) ^{2}+3/2\, \left( y \left( x \right)  \right) ^{2}bx+3/16\,y \left( x \right) {a}^{2}{x}^{4}+3/4\,y \left( x \right) a{x}^{3}b+3/4\,y \left( x \right) {b}^{2}{x}^{2}+{\frac {{a}^{3}{x}^{6}}{64}}+{\frac {3\,{a}^{2}{x}^{5}b}{32}}+3/16\,a{x}^{4}{b}^{2}+1/8\,{b}^{3}{x}^{3}=0}
\]