\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) =1/2\, \left( y \left( x \right) {{\rm e}^{-1/4\,{x}^{2}}}x+2\,F \left( y \left( x \right) {{\rm e}^{-1/4\,{x}^{2}}} \right)  \right) {{\rm e}^{1/4\,{x}^{2}}}=0}
\]