4.446   ODE No. 1446

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

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

Mathematica: cpu = 0.022003 (sec), leaf count = 33 $$\left\{\{y(x)\to c_1{e}^{-1/x}-c_2{e}^{-1/x}\text{Ei}\left(\frac{2}{x}\right)\}\right\}$$

Maple: cpu = 0.047 (sec), leaf count = 28 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{-x^{-1}}+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{-x^{-1}}\mathit{E}\mathit{i}(1,-2x^{-1})\}$$