\[ y''(x)-\left (a^2 x^2+a\right ) y(x)=0 \] ✓ Mathematica : cpu = 0.0114875 (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 = 0.067 (sec), leaf count = 22
\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\frac {a{x}^{2}}{2}}}} \left ( {\it Erf} \left ( \sqrt {a}x \right ) {\it \_C2}+{\it \_C1} \right ) \right \} \]