\[ \left (-a^2 x^2-a\right ) y(x)+y''(x)=0 \] ✓ Mathematica : cpu = 0.0143334 (sec), leaf count = 43
\[\left \{\left \{y(x)\to c_1 D_{-1}\left (\sqrt {2} \sqrt {a} x\right )+c_2 D_0\left (i \sqrt {2} \sqrt {a} x\right )\right \}\right \}\] ✓ Maple : cpu = 0.039 (sec), leaf count = 22
\[\left \{y \left (x \right ) = \left (c_{2} \erf \left (\sqrt {a}\, x \right )+c_{1}\right ) {\mathrm e}^{\frac {a \,x^{2}}{2}}\right \}\]