\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) =-x/2+1+ \left( y \left( x \right)  \right) ^{2}+7/2\,{x}^{2}y \left( x \right) -2\,xy \left( x \right) +{\frac {13\,{x}^{4}}{16}}-3/2\,{x}^{3}+{x}^{2}+ \left( y \left( x \right)  \right) ^{3}+3/4\,{x}^{2} \left( y \left( x \right)  \right) ^{2}-3\,x \left( y \left( x \right)  \right) ^{2}+3/16\,y \left( x \right) {x}^{4}-3/2\,{x}^{3}y \left( x \right) +{\frac {{x}^{6}}{64}}-3/16\,{x}^{5}=0}
\]