3.155   ODE No. 155

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

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

Mathematica: cpu = 0.017002 (sec), leaf count = 46 $$\left\{\{y(x)\to \frac{1}{c_1+\frac{1}{2}\log (1-x)-\frac{1}{2}\log (x+1)}-\frac{x(1-x^2)}{x^2-1}\}\right\}$$

Maple: cpu = 0.094 (sec), leaf count = 14 $$\{y\left(x\right)=x+{(\mathit{\_}\mathit{C}\mathit{1}-\mathit{A}\mathit{r}\mathit{t}\mathit{a}\mathit{n}\mathit{h}\left(x\right))}^{-1}\}$$