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