2.1049   ODE No. 1049

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

$$(4x^2-1)y(x)-4x{y}^{\prime }(x)+y^{″}(x)-e^x=0$$ ✓ Mathematica : cpu = 0.0532486 (sec), leaf count = 109

$$\left\{\{y(x)\to \frac{1}{4}\sqrt{\pi }{e}^{x(x-i)-\frac{i}{2}}(e^{2ix}\text{erfi}((\frac{1}{2}+\frac{i}{2})-ix)-i{e}^i\text{erf}(-x+(\frac{1}{2}+\frac{i}{2})))+c_1{e}^{x(x-i)}-\frac{1}{2}i{c}_2{e}^{(x-i)x+2ix}\}\right\}$$ ✓ Maple : cpu = 0.275 (sec), leaf count = 66

$$\{y\left(x\right)=\frac{((i\cos \left(x\right)+\sin \left(x\right)){\mathrm{e}}^{\frac{i}{2}}\sqrt{\pi }\mathit{E}\mathit{r}\mathit{f}(x-\frac{1}{2}-\frac{i}{2})-{\mathrm{e}}^{-\frac{i}{2}}(i\cos \left(x\right)-\sin \left(x\right))\sqrt{\pi }\mathit{E}\mathit{r}\mathit{f}(x-\frac{1}{2}+\frac{i}{2})+4\sin \left(x\right)\mathit{\_}\mathit{C}\mathit{1}+4\cos \left(x\right)\mathit{\_}\mathit{C}\mathit{2}){\mathrm{e}}^{x^2}}{4}\}$$