3.447   ODE No. 447

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

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

Mathematica: cpu = 0.015502 (sec), leaf count = 41 $$\{\{y(x)\to c_1-\log (\sqrt{x^2-1}+x)\},\{y(x)\to c_1+\log (\sqrt{x^2-1}+x)\}\}$$

Maple: cpu = 0.468 (sec), leaf count = 33 $$\{y\left(x\right)=-\ln (x+\sqrt{x^2-1})+\mathit{\_}\mathit{C}\mathit{1},y\left(x\right)=\ln (x+\sqrt{x^2-1})+\mathit{\_}\mathit{C}\mathit{1}\}$$