3.156   ODE No. 156

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

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

Mathematica: cpu = 0.016002 (sec), leaf count = 21 $$\left\{\{y(x)\to \frac{1}{c_1\sqrt{x^2-1}+x}\}\right\}$$

Maple: cpu = 0.016 (sec), leaf count = 20 $$\{y\left(x\right)={(\sqrt{x-1}\sqrt{1+x}\mathit{\_}\mathit{C}\mathit{1}+x)}^{-1}\}$$