\[ y'(x)=\frac {1}{4} x \left (-4 e^{-x^2} x^2 y(x)-4 e^{-x^2} x^2+4 e^{-x^2}+e^{-2 x^2} x^4+4 y(x)^2\right ) \] ✓ Mathematica : cpu = 0.322253 (sec), leaf count = 32
\[\left \{\left \{y(x)\to \frac {1}{2} e^{-x^2} x^2+\frac {1}{-\frac {x^2}{2}+c_1}\right \}\right \}\] ✓ Maple : cpu = 0.119 (sec), leaf count = 25
\[y \relax (x ) = \frac {x^{2} {\mathrm e}^{-x^{2}}}{2}+\frac {1}{c_{1}-\frac {x^{2}}{2}}\]