\[ y'(x)=\frac {e^{-\frac {3 x^2}{2}} x \left (3 e^{3 x^2} y(x)^3+e^{\frac {9 x^2}{2}} y(x)^3+18 e^{3 x^2} y(x)^2+9 e^{\frac {9 x^2}{2}} y(x)^2+27 e^{3 x^2} y(x)+27 e^{\frac {9 x^2}{2}} y(x)+27 e^{\frac {9 x^2}{2}}+27 y(x)^3\right )}{243 y(x)} \] ✗ Mathematica : cpu = 299.999 (sec), leaf count = 0 , timed out
$Aborted
✓ Maple : cpu = 0.208 (sec), leaf count = 54
\[ \left \{ y \left ( x \right ) =-369\,{\frac {{{\rm e}^{3/2\,{x}^{2}}}}{123+123\,{{\rm e}^{3/2\,{x}^{2}}}-136\,{\it RootOf} \left ( -41\,{x}^{2}-50243409\,\int ^{{\it \_Z}}\! \left ( 9248\,{{\it \_a}}^{3}-1860867\,{\it \_a}+1860867 \right ) ^{-1}{d{\it \_a}}+27\,{\it \_C1} \right ) }} \right \} \]