4.369   ODE No. 1369

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

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

Mathematica: cpu = 0.102513 (sec), leaf count = 75 $$\left\{\{y(x)\to c_1\sqrt{1-x^2}{e}^{-\sqrt{1-a}{\tanh }^{-1}(x)}+\frac{c_2\sqrt{1-x^2}{e}^{\sqrt{1-a}{\tanh }^{-1}(x)}}{2\sqrt{1-a}}\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 61 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\sqrt{x^2-1}{\left(\frac{x-1}{1+x}\right)}^{\frac{1}{2}\sqrt{1-a}}+\mathit{\_}\mathit{C}\mathit{2}\sqrt{x^2-1}{\left(\frac{x-1}{1+x}\right)}^{-\frac{1}{2}\sqrt{1-a}}\}$$