\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) =- \left( -{{\rm e}^{-{x}^{2}}}+{x}^{2}{{\rm e}^{-{x}^{2}}}-F \left( y \left( x \right) -1/2\,{x}^{2}{{\rm e}^{-{x}^{2}}} \right)  \right) x=0}
\]