2.1247   ODE No. 1247

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

$$2ax{y}^{\prime }(x)+(a-1)ay(x)+(x^2-1)y^{″}(x)=0$$ ✓ Mathematica : cpu = 0.216562 (sec), leaf count = 97

$$\left\{\{y(x)\to c_1\sqrt{1-x^2}{(x^2-1)}^{-a/2}{e}^{-\sqrt{(a-1{)}^2}{\tanh }^{-1}(x)}+\frac{c_2\sqrt{1-x^2}{(x^2-1)}^{-a/2}{e}^{\sqrt{(a-1{)}^2}{\tanh }^{-1}(x)}}{2\sqrt{(a-1{)}^2}}\}\right\}$$

✓ Maple : cpu = 0.033 (sec), leaf count = 27

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