3.6   ODE No. 6

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+y\left(x\right)\cos \left(x\right)-\frac{1}{2}\sin \left(2x\right)=0}}$$

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

Mathematica: cpu = 0.022003 (sec), leaf count = 18 $$\left\{\{y(x)\to c_1{e}^{-\sin (x)}+\sin (x)-1\}\right\}$$

Maple: cpu = 0.078 (sec), leaf count = 15 $$\{y\left(x\right)=\sin \left(x\right)-1+{\mathrm{e}}^{-\sin \left(x\right)}\mathit{\_}\mathit{C}\mathit{1}\}$$

Sage: cpu = 0.008 (sec), leaf count = 0 $$[((\sin \left(x\right)-1)e^{\sin \left(x\right)}+c)e^{(-\sin \left(x\right))},\mathtt{\text{linear}}]$$