2.1239   ODE No. 1239

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

$$-ly(x)+(x^2-1)y^{″}(x)+2x{y}^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.0145586 (sec), leaf count = 46

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

✓ Maple : cpu = 0.955 (sec), leaf count = 35

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