4.316   ODE No. 1316

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

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

Mathematica: cpu = 0.091512 (sec), leaf count = 38 $$\left\{\{y(x)\to c_2{G}_{2,2}^{2,0}\left(x^2|\begin{array}{c}\frac{1}{2},\frac{3}{2}\\ 0,0\end{array}\right)+\frac{2c_{1}E\left(x^2\right)}{\pi }\}\right\}$$

Maple: cpu = 0.032 (sec), leaf count = 18 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\mathit{E}\mathit{l}\mathit{l}\mathit{i}\mathit{p}\mathit{t}\mathit{i}\mathit{c}\mathit{E}\left(x\right)+\mathit{\_}\mathit{C}\mathit{2}(\mathit{E}\mathit{l}\mathit{l}\mathit{i}\mathit{p}\mathit{t}\mathit{i}\mathit{c}\mathit{C}\mathit{E}\left(x\right)-\mathit{E}\mathit{l}\mathit{l}\mathit{i}\mathit{p}\mathit{t}\mathit{i}\mathit{c}\mathit{C}\mathit{K}\left(x\right))\}$$