4.358   ODE No. 1358

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

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

Mathematica: cpu = 0.065008 (sec), leaf count = 66 $$\left\{\{y(x)\to \frac{c_{1}x\sqrt[4]{x^2-1}}{\sqrt[4]{1-x^2}}+\frac{c_{2}x\sqrt[4]{x^2-1}\log (\sqrt{x^2-1}+x)}{\sqrt[4]{1-x^2}}\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 21 $$\{y\left(x\right)=x\mathit{\_}\mathit{C}\mathit{1}+\mathit{\_}\mathit{C}\mathit{2}x\ln (x+\sqrt{x^2-1})\}$$