\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac {y \left( x \right)  \left(  \left( {{\rm e}^{-1/4\,{x}^{2}}} \right) ^{2}xy \left( x \right) +{{\rm e}^{-1/4\,{x}^{2}}}x+2\, \left( y \left( x \right)  \right) ^{2}{{\rm e}^{-3/4\,{x}^{2}}} \right) {{\rm e}^{1/4\,{x}^{2}}}}{2\,y \left( x \right) {{\rm e}^{-1/4\,{x}^{2}}}+2}}=0}
\]