2.1486   ODE No. 1486

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

$$(2x-1)y^{(3)}(x)-8x{y}^{\prime }(x)+8y(x)=0$$ ✓ Mathematica : cpu = 0.168987 (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 = 0.251 (sec), leaf count = 50

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}x+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{2x}+\mathit{\_}\mathit{C}\mathit{3}(-\frac{x{\mathrm{e}}^{-1}\mathit{E}\mathit{i}(1,2x-1)}{2}+\frac{\mathit{E}\mathit{i}(1,4x-2){\mathrm{e}}^{2x-2}}{4}+\frac{{\mathrm{e}}^{-2x}}{4})\}$$