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