2.1369   ODE No. 1369

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

$$y^{″}(x)=-\frac{ay(x)}{{(x^2-1)}^2}$$ ✓ Mathematica : cpu = 0.0863866 (sec), leaf count = 106

$$\left\{\{y(x)\to \frac{c_2\sqrt{1-x^2}(x+1{)}^{\sqrt{1-a}}(1-x{)}^{-\sqrt{1-a}}{e}^{-\sqrt{1-a}{\tanh }^{-1}(x)}}{2\sqrt{1-a}}+c_1\sqrt{1-x^2}{e}^{-\sqrt{1-a}{\tanh }^{-1}(x)}\}\right\}$$ ✓ Maple : cpu = 0.134 (sec), leaf count = 55

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