5.37   ODE No. 1485

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

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

Mathematica: cpu = 0.119015 (sec), leaf count = 66 $$\left\{\{y(x)\to -\frac{c_3(4e^x\text{Ei}(2-x)-e^2(x^2\log (2-x)-x^2\log (x)+2x+2))}{4e^2}+c_1{x}^2+c_2{e}^x\}\right\}$$

Maple: cpu = 0.297 (sec), leaf count = 47 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{x}^2+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^x+\mathit{\_}\mathit{C}\mathit{3}(-\frac{x^2\ln \left(x\right)}{4}+\frac{x^2\ln (x-2)}{4}+\mathit{E}\mathit{i}(1,x-2){\mathrm{e}}^{x-2}+\frac{x}{2}+\frac{1}{2})\}$$