3.352   ODE No. 352

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

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

Mathematica: cpu = 0.132017 (sec), leaf count = 43 $$\text{Solve}[4\sin (\alpha )\sin (x)\sin (y(x))-4(\frac{y(x)}{2}+\frac{1}{4}\sin (2y(x)))-2x-\sin (2x)=c_1,y(x)]$$

Maple: cpu = 0.188 (sec), leaf count = 35 $$\{-\sin \left(x\right)\sin \left(\alpha \right)\sin \left(y\left(x\right)\right)+\frac{\cos \left(x\right)\sin \left(x\right)}{2}+\frac{x}{2}+\frac{\sin \left(y\left(x\right)\right)\cos \left(y\left(x\right)\right)}{2}+\frac{y\left(x\right)}{2}+\mathit{\_}\mathit{C}\mathit{1}=0\}$$