2.352   ODE No. 352

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

$$y^{\prime }(x)\cos (y(x))(\cos (y(x))-\sin (\alpha )\sin (x))+\cos (x)(\cos (x)-\sin (\alpha )\sin (y(x)))=0$$ ✓ Mathematica : cpu = 0.520555 (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 = 0.345 (sec), leaf count = 33

$$\{\frac{(-2\sin \left(\alpha \right)\sin \left(x\right)+\cos \left(y\left(x\right)\right))\sin \left(y\left(x\right)\right)}{2}+\frac{\cos \left(x\right)\sin \left(x\right)}{2}+\frac{x}{2}+\mathit{\_}\mathit{C}\mathit{1}+\frac{y\left(x\right)}{2}=0\}$$