2.1371   ODE No. 1371

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

$$y^{″}(x)=-\frac{y(x)(-a^2-\lambda (x^2-1))}{{(x^2-1)}^2}-\frac{2x{y}^{\prime }(x)}{x^2-1}$$ ✓ Mathematica : cpu = 0.0221128 (sec), leaf count = 48

$$\left\{\{y(x)\to c_1{P}_{\frac{1}{2}(\sqrt{4\lambda +1}-1)}^a(x)+c_2{Q}_{\frac{1}{2}(\sqrt{4\lambda +1}-1)}^a(x)\}\right\}$$

✓ Maple : cpu = 0.055 (sec), leaf count = 37

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\mathit{L}\mathit{e}\mathit{g}\mathit{e}\mathit{n}\mathit{d}\mathit{r}\mathit{e}\mathit{P}(\frac{1}{2}\sqrt{1+4\lambda }-\frac{1}{2},a,x)+\mathit{\_}\mathit{C}\mathit{2}\mathit{L}\mathit{e}\mathit{g}\mathit{e}\mathit{n}\mathit{d}\mathit{r}\mathit{e}\mathit{Q}(\frac{1}{2}\sqrt{1+4\lambda }-\frac{1}{2},a,x)\}$$