\[ y'(x)=-\frac {1}{8} x \left (12 e^{-x^2} x^2 y(x)^2+8 e^{-x^2} x^2 y(x)+8 e^{-x^2} x^2-8 e^{-x^2}+e^{-3 x^2} x^6-6 e^{-2 x^2} x^4 y(x)-2 e^{-2 x^2} x^4-8 y(x)^3-8 y(x)^2-8\right ) \] ✓ Mathematica : cpu = 0.352624 (sec), leaf count = 1
\[\{\}\]
✓ Maple : cpu = 0.142 (sec), leaf count = 68
\[ \left \{ y \left ( x \right ) ={\frac {58\,{\it RootOf} \left ( {x}^{2}-162\,\int ^{{\it \_Z}}\! \left ( 841\,{{\it \_a}}^{3}-27\,{\it \_a}+27 \right ) ^{-1}{d{\it \_a}}+6\,{\it \_C1} \right ) + \left ( 9\,{x}^{2}-6\,{{\rm e}^{{x}^{2}}} \right ) {{\rm e}^{-{x}^{2}}}}{18\,{{\rm e}^{-{x}^{2}}}{{\rm e}^{{x}^{2}}}}} \right \} \]