4.447   ODE No. 1447

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

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

Mathematica: cpu = 0.020002 (sec), leaf count = 29 $$\left\{\{y(x)\to c_1{e}^{\frac{1}{x}}-c_2{e}^{\frac{1}{x}}\text{Ei}(-\frac{2}{x})\}\right\}$$

Maple: cpu = 0.047 (sec), leaf count = 24 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{x^{-1}}+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{x^{-1}}\mathit{E}\mathit{i}(1,2x^{-1})\}$$