3.363   ODE No. 363

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

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

Mathematica: cpu = 0.035005 (sec), leaf count = 33 $$\text{Solve}[\frac{y(x)}{2x}+\frac{1}{4}\sin \left(\frac{2y(x)}{x}\right)=c_1-\log (x),y(x)]$$

Maple: cpu = 0.062 (sec), leaf count = 35 $$\{-\frac{1}{2x}(\cos \left(\frac{y\left(x\right)}{x}\right)\sin \left(\frac{y\left(x\right)}{x}\right)x+y\left(x\right))-\ln \left(x\right)-\mathit{\_}\mathit{C}\mathit{1}=0\}$$