2.447   ODE No. 447

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

$$(x^2-1)y^{\prime }(x{)}^2-1=0$$ ✓ Mathematica : cpu = 0.0101585 (sec), leaf count = 89

$$\{\{y(x)\to \frac{1}{2}\log (1-\frac{x}{\sqrt{x^2-1}})-\frac{1}{2}\log (\frac{x}{\sqrt{x^2-1}}+1)+c_1\},\{y(x)\to -\frac{1}{2}\log (1-\frac{x}{\sqrt{x^2-1}})+\frac{1}{2}\log (\frac{x}{\sqrt{x^2-1}}+1)+c_1\}\}$$ ✓ Maple : cpu = 0.091 (sec), leaf count = 33

$$\{y\left(x\right)=-\ln (x+\sqrt{x^2-1})+\mathit{\_}\mathit{C}\mathit{1},y\left(x\right)=\ln (x+\sqrt{x^2-1})+\mathit{\_}\mathit{C}\mathit{1}\}$$