2.266   ODE No. 266

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

$$\sqrt{x^2+1}(y(x)-x)y^{\prime }(x)-a\sqrt{{(y(x{)}^2+1)}^3}=0$$ ✗ Mathematica : cpu = 300.011 (sec), leaf count = 0 , timed out

$Aborted

✓ Maple : cpu = 1.454 (sec), leaf count = 65

$$\{y\left(x\right)=\tan \left(\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-\arctan \left(x\right)+{\int }^{-\arctan \left(x\right)+\mathit{\_}\mathit{Z}}\frac{1}{2a^2+\cos \left(2\mathit{\_}\mathit{a}\right)-1}(\sqrt{2}\sqrt{\frac{a^2}{\cos \left(2\mathit{\_}\mathit{a}\right)+1}}\sin \left(2\mathit{\_}\mathit{a}\right)-\cos \left(2\mathit{\_}\mathit{a}\right)+1)d\mathit{\_}\mathit{a}+\mathit{\_}\mathit{C}\mathit{1})\right)\}$$