\[ y'(x)=\frac {1}{4} x \left (-4 e^{-x^2} x^2 y(x)+e^{-2 x^2} x^4-4 e^{-x^2} x^2+4 e^{-x^2}+4 y(x)^2\right ) \] ✓ Mathematica : cpu = 0.287834 (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 = 0.144 (sec), leaf count = 25
\[ \left \{ y \left ( x \right ) ={\frac {{x}^{2}{{\rm e}^{-{x}^{2}}}}{2}}+ \left ( {\it \_C1}-{\frac {{x}^{2}}{2}} \right ) ^{-1} \right \} \]