5.38   ODE No. 1486

$$\boxed{{\displaystyle (2x-1)\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}y\left(x\right)-8x\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+8y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.168021 (sec), leaf count = 65 $$\left\{\{y(x)\to \frac{1}{4}{c}_{3}x(\frac{e^{2x-2}\text{Ei}(2-4x)}{x}-\frac{2\text{Ei}(1-2x)}{e}-\frac{e^{-2x}}{x})+c_{1}x-c_2{e}^{2x}\}\right\}$$

Maple: cpu = 0.187 (sec), leaf count = 50 $$\{y\left(x\right)=x\mathit{\_}\mathit{C}\mathit{1}+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{2x}+\mathit{\_}\mathit{C}\mathit{3}(-\frac{x{\mathrm{e}}^{-1}\mathit{E}\mathit{i}(1,2x-1)}{2}+\frac{\mathit{E}\mathit{i}(1,-2+4x){\mathrm{e}}^{2x-2}}{4}+\frac{{\mathrm{e}}^{-2x}}{4})\}$$