2.176   ODE No. 176

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

$$(x^2-1)x{y}^{\prime }(x)+(x^2-1)y(x{)}^2-x^2=0$$ ✓ Mathematica : cpu = 0.181387 (sec), leaf count = 82

$$\left\{\{y(x)\to \frac{x(-2x{G}_{2,2}^{2,0}\left(x^2|\begin{array}{c}-\frac{1}{2},\frac{1}{2}\\ -1,0\end{array}\right)+\frac{2c_1(E\left(x^2\right)-K\left(x^2\right))}{\pi x})}{G_{2,2}^{2,0}\left(x^2|\begin{array}{c}\frac{1}{2},\frac{3}{2}\\ 0,0\end{array}\right)+\frac{2c_{1}E\left(x^2\right)}{\pi }}\}\right\}$$ ✓ Maple : cpu = 0.073 (sec), leaf count = 30

$$\{y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{1}\mathit{E}\mathit{l}\mathit{l}\mathit{i}\mathit{p}\mathit{t}\mathit{i}\mathit{c}\mathit{C}\mathit{E}\left(x\right)+\mathit{E}\mathit{l}\mathit{l}\mathit{i}\mathit{p}\mathit{t}\mathit{i}\mathit{c}\mathit{E}\left(x\right)-\mathit{E}\mathit{l}\mathit{l}\mathit{i}\mathit{p}\mathit{t}\mathit{i}\mathit{c}\mathit{K}\left(x\right)}{\mathit{\_}\mathit{C}\mathit{1}\mathit{E}\mathit{l}\mathit{l}\mathit{i}\mathit{p}\mathit{t}\mathit{i}\mathit{c}\mathit{C}\mathit{E}\left(x\right)-\mathit{\_}\mathit{C}\mathit{1}\mathit{E}\mathit{l}\mathit{l}\mathit{i}\mathit{p}\mathit{t}\mathit{i}\mathit{c}\mathit{C}\mathit{K}\left(x\right)+\mathit{E}\mathit{l}\mathit{l}\mathit{i}\mathit{p}\mathit{t}\mathit{i}\mathit{c}\mathit{E}\left(x\right)}\}$$