\[ -4 e^{x^2} x^2+y''(x)-2 y(x)=0 \] ✓ Mathematica : cpu = 0.0685949 (sec), leaf count = 135
\[\left \{\left \{y(x)\to c_1 e^{\sqrt {2} x}+c_2 e^{-\sqrt {2} x}+\frac {e^{-\sqrt {2} x} \left (-2 e^{x \left (x+\sqrt {2}\right )} x+2 e^{\left (x-\sqrt {2}\right ) x+2 \sqrt {2} x} x+\sqrt {2} e^{x \left (x+\sqrt {2}\right )}+\sqrt {2} e^{\left (x-\sqrt {2}\right ) x+2 \sqrt {2} x}\right )}{2 \sqrt {2}}\right \}\right \}\]
✓ Maple : cpu = 0.016 (sec), leaf count = 26
\[ \left \{ y \left ( x \right ) ={{\rm e}^{\sqrt {2}x}}{\it \_C2}+{{\rm e}^{-\sqrt {2}x}}{\it \_C1}+{{\rm e}^{{x}^{2}}} \right \} \]