3.347   ODE No. 347

$$\boxed{{\displaystyle \left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)(1+\sin \left(x\right))\sin \left(y\left(x\right)\right)+\cos \left(x\right)(\cos \left(y\left(x\right)\right)-1)=0}}$$

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

Mathematica: cpu = 0.117515 (sec), leaf count = 32 $$\{\{y(x)\to 0\},\{y(x)\to 2{\sin }^{-1}\left(\frac{1}{4}{c}_1(\sin \left(\frac{x}{2}\right)+\cos \left(\frac{x}{2}\right))\right)\}\}$$

Maple: cpu = 0.094 (sec), leaf count = 16 $$\{y\left(x\right)=\pi -\arccos (\sin \left(x\right)\mathit{\_}\mathit{C}\mathit{1}+\mathit{\_}\mathit{C}\mathit{1}-1)\}$$