2.1013   ODE No. 1013

1. Problem in Latex
2. Mathematica input
3. Maple input

$$y^{″}(x)-(a^2{x}^2+a)y(x)=0$$ ✓ Mathematica : cpu = 0.0114875 (sec), leaf count = 43

$$\left\{\{y(x)\to c_1{D}_{-1}\left(\sqrt{2}\sqrt{a}x\right)+c_2{D}_0\left(i\sqrt{2}\sqrt{a}x\right)\}\right\}$$ ✓ Maple : cpu = 0.067 (sec), leaf count = 22

$$\{y\left(x\right)={\mathrm{e}}^{\frac{a{x}^2}{2}}(\mathit{E}\mathit{r}\mathit{f}\left(\sqrt{a}x\right)\mathit{\_}\mathit{C}\mathit{2}+\mathit{\_}\mathit{C}\mathit{1})\}$$