\[ y''(x)-\left (a^2 x^2+a\right ) y(x)=0 \] ✓ Mathematica : cpu = 0.0201259 (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 = 0.046 (sec), leaf count = 29
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{{\frac {a{x}^{2}}{2}}}}+{\it \_C2}\,{{\rm e}^{{\frac {a{x}^{2}}{2}}}}{\it Erf} \left ( \sqrt {a}x \right ) \right \} \]