2.364   ODE No. 364

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

$$x{y}^{\prime }(x)(y(x)\sin \left(\frac{y(x)}{x}\right)-x\cos \left(\frac{y(x)}{x}\right))-y(x)(y(x)\sin \left(\frac{y(x)}{x}\right)+x\cos \left(\frac{y(x)}{x}\right))=0$$ ✓ Mathematica : cpu = 0.423044 (sec), leaf count = 31

$$\text{Solve}[-\log \left(\frac{y(x)}{x}\right)-\log (\cos \left(\frac{y(x)}{x}\right))=2\log (x)+c_1,y(x)]$$ ✓ Maple : cpu = 0.086 (sec), leaf count = 23

$$\{y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{1}}{\cos \left(\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-\mathit{\_}\mathit{Z}\cos \left(\mathit{\_}\mathit{Z}\right)x^2+\mathit{\_}\mathit{C}\mathit{1})\right)x}\}$$