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 = 0.0200563 (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 = 0.037 (sec), leaf count = 29

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