3.96   ODE No. 96

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

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

Mathematica: cpu = 0.022003 (sec), leaf count = 33 $$\left\{\{y(x)\to \frac{1-e^{2c_1}{x}^2}{e^{2c_1}{x}^2+1}\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 11 $$\{y\left(x\right)=-\tanh (\ln \left(x\right)+\mathit{\_}\mathit{C}\mathit{1})\}$$