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