\[ y'(x)=\frac {1}{2} e^{\frac {x^2}{4}} \left (2 e^{-\frac {3 x^2}{4}} y(x)^3+2 e^{-\frac {x^2}{2}} y(x)^2+e^{-\frac {x^2}{4}} x y(x)+2\right ) \] ✓ Mathematica : cpu = 0.325384 (sec), leaf count = 1
\[\{\}\]
✓ Maple : cpu = 0.072 (sec), leaf count = 63
\[ \left \{ y \left ( x \right ) ={\frac {1}{9} \left ( -3\,{{\rm e}^{-1/4\,{x}^{2}}}{{\rm e}^{1/4\,{x}^{2}}}+29\,{\it RootOf} \left ( -81\,\int ^{{\it \_Z}}\! \left ( 841\,{{\it \_a}}^{3}-27\,{\it \_a}+27 \right ) ^{-1}{d{\it \_a}}+x+3\,{\it \_C1} \right ) \right ) \left ( {{\rm e}^{{\frac {{x}^{2}}{4}}}} \right ) ^{-1} \left ( {{\rm e}^{-{\frac {{x}^{2}}{2}}}} \right ) ^{-1}} \right \} \]