3.266   ODE No. 266

$$\boxed{{\displaystyle (y\left(x\right)-x)\sqrt{x^2+1}\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-a\sqrt{{({\left(y\left(x\right)\right)}^2+1)}^3}=0}}$$

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

Mathematica: cpu = 0 (sec), leaf count = 0 $$\text{Hanged}$$

Maple: cpu = 1.045 (sec), leaf count = 59 $$\{y\left(x\right)=\tan \left(\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-\arctan \left(x\right)+{\int }^{-\arctan \left(x\right)+\mathit{\_}\mathit{Z}}-\frac{1}{2a^2+\cos \left(2\mathit{\_}\mathit{a}\right)-1}(\cos \left(2\mathit{\_}\mathit{a}\right)-1+\sqrt{-2a^2\cos \left(2\mathit{\_}\mathit{a}\right)+2a^2})d\mathit{\_}\mathit{a}+\mathit{\_}\mathit{C}\mathit{1})\right)\}$$