2.338   ODE No. 338

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

$$y^{\prime }(x)(\sin (\alpha )(y(x{)}^2-x^2)-2x\cos (\alpha )y(x)+\sqrt{x^2+y(x{)}^2}y(x))+\cos (\alpha )(y(x{)}^2-x^2)+2x\sin (\alpha )y(x)+x\sqrt{x^2+y(x{)}^2}=0$$ ✓ Mathematica : cpu = 72.6815 (sec), leaf count = 17681 $$\text{Too large to display}$$ ✓ Maple : cpu = 0.547 (sec), leaf count = 128

$$\{y\left(x\right)=\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-\ln \left(x\right)+{\int }^{\mathit{\_}\mathit{Z}}-\frac{1}{({\mathit{\_}\mathit{a}}^2+1)({\mathit{\_}\mathit{a}}^2\cos \left(2\alpha \right)+2\mathit{\_}\mathit{a}\sin \left(2\alpha \right)+{\mathit{\_}\mathit{a}}^2-\cos \left(2\alpha \right)+1)}({\mathit{\_}\mathit{a}}^3\cos \left(2\alpha \right)+3{\mathit{\_}\mathit{a}}^2\sin \left(2\alpha \right)+{\mathit{\_}\mathit{a}}^3-3\mathit{\_}\mathit{a}\cos \left(2\alpha \right)-\sin \left(2\alpha \right)-\sqrt{2}\sqrt{({\mathit{\_}\mathit{a}}^2+1)({\mathit{\_}\mathit{a}}^2\cos \left(2\alpha \right)+2\mathit{\_}\mathit{a}\sin \left(2\alpha \right)+{\mathit{\_}\mathit{a}}^2-\cos \left(2\alpha \right)+1)}+\mathit{\_}\mathit{a})d\mathit{\_}\mathit{a}+\mathit{\_}\mathit{C}\mathit{1})x\}$$