4.49   ODE No. 1049

$$\boxed{{\displaystyle \frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)-4x\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+(4x^2-1)y\left(x\right)-{\mathrm{e}}^x=0}}$$

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

Mathematica: cpu = 0 (sec), leaf count = 0 $$\text{Hanged}$$

Maple: cpu = 0.125 (sec), leaf count = 70 $$\{y\left(x\right)={\mathrm{e}}^{x^2}\cos \left(x\right)\mathit{\_}\mathit{C}\mathit{2}+{\mathrm{e}}^{x^2}\sin \left(x\right)\mathit{\_}\mathit{C}\mathit{1}-\frac{{\mathrm{e}}^{x^2}(-{\mathrm{e}}^{\frac{i}{2}}(i\cos \left(x\right)+\sin \left(x\right))\mathit{E}\mathit{r}\mathit{f}(x-\frac{1}{2}-\frac{i}{2})+(i\cos \left(x\right)-\sin \left(x\right))\mathit{E}\mathit{r}\mathit{f}(x-\frac{1}{2}+\frac{i}{2}){\mathrm{e}}^{-\frac{i}{2}})\sqrt{\pi }}{4}\}$$