3.364   ODE No. 364

$$\boxed{{\displaystyle (y\left(x\right)\sin \left(\frac{y\left(x\right)}{x}\right)-x\cos \left(\frac{y\left(x\right)}{x}\right))x\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-(x\cos \left(\frac{y\left(x\right)}{x}\right)+y\left(x\right)\sin \left(\frac{y\left(x\right)}{x}\right))y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.064008 (sec), leaf count = 31 $$\text{Solve}[-\log \left(\frac{y(x)}{x}\right)-\log (\cos \left(\frac{y(x)}{x}\right))=c_1+2\log (x),y(x)]$$

Maple: cpu = 0.078 (sec), leaf count = 23 $$\{y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{1}}{\cos \left(\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-\mathit{\_}\mathit{Z}{x}^2\cos \left(\mathit{\_}\mathit{Z}\right)+\mathit{\_}\mathit{C}\mathit{1})\right)x}\}$$