2.190   ODE No. 190

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

$$\sqrt{x^2-1}{y}^{\prime }(x)-\sqrt{y(x{)}^2-1}=0$$ ✓ Mathematica : cpu = 0.0955185 (sec), leaf count = 173

$$\{\{y(x)\to -\frac{1}{2}{e}^{-c_1}\sqrt{2x^2+2e^{4c_1}{x}^2-2\sqrt{(x-1)(x+1)}x+2e^{4c_1}\sqrt{(x-1)(x+1)}x-1+2e^{2c_1}-e^{4c_1}}\},\{y(x)\to \frac{1}{2}{e}^{-c_1}\sqrt{2x^2+2e^{4c_1}{x}^2-2\sqrt{(x-1)(x+1)}x+2e^{4c_1}\sqrt{(x-1)(x+1)}x-1+2e^{2c_1}-e^{4c_1}}\}\}$$ ✓ Maple : cpu = 0.006 (sec), leaf count = 29

$$\{\ln (x+\sqrt{x^2-1})-\ln (y\left(x\right)+\sqrt{{\left(y\left(x\right)\right)}^2-1})+\mathit{\_}\mathit{C}\mathit{1}=0\}$$