2.1358   ODE No. 1358

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

$$y^{″}(x)=\frac{(x^2-2)y^{\prime }(x)}{x(x^2-1)}-\frac{(x^2-2)y(x)}{x^2(x^2-1)}$$ ✓ Mathematica : cpu = 0.0664978 (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 = 0.24 (sec), leaf count = 21

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}x+\mathit{\_}\mathit{C}\mathit{2}x\ln (x+\sqrt{x^2-1})\}$$