3.561   ODE No. 561

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

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

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

Maple: cpu = 1.919 (sec), leaf count = 50 $$\{y\left(x\right)=x{(\tan \left(\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-2\mathit{\_}\mathit{Z}+{\int }^{\frac{x^2({(\tan \left(\mathit{\_}\mathit{Z}\right))}^2+1)}{{(\tan \left(\mathit{\_}\mathit{Z}\right))}^2}}\frac{f\left(\mathit{\_}\mathit{a}\right)}{\mathit{\_}\mathit{a}}\frac{1}{\sqrt{-{\left(f\left(\mathit{\_}\mathit{a}\right)\right)}^2+\mathit{\_}\mathit{a}}}d\mathit{\_}\mathit{a}+2\mathit{\_}\mathit{C}\mathit{1})\right))}^{-1}\}$$