3.361   ODE No. 361

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

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

Mathematica: cpu = 0.213027 (sec), leaf count = 31 $$\text{Solve}[\cos (y(x))-\cos (xy(x))+\sin (x)\cos (y(x))+\cos (x)\sin (y(x))+\sin (x)=c_1,y(x)]$$

Maple: cpu = 0.172 (sec), leaf count = 22 $$\{-\cos \left(xy\left(x\right)\right)+\sin (y\left(x\right)+x)+\sin \left(x\right)+\cos \left(y\left(x\right)\right)+\mathit{\_}\mathit{C}\mathit{1}=0\}$$