2.196   ODE No. 196

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

$$\cos (x)y^{\prime }(x)+y(x)+(\sin (x)+1)\cos (x)=0$$ ✓ Mathematica : cpu = 0.204179 (sec), leaf count = 53

$$\left\{\{y(x)\to e^{-2{\tanh }^{-1}(\tan \left(\frac{x}{2}\right))}(\sin (x)+4\log (\cos \left(\frac{x}{2}\right)-\sin \left(\frac{x}{2}\right)))+c_1{e}^{-2{\tanh }^{-1}(\tan \left(\frac{x}{2}\right))}\}\right\}$$ ✓ Maple : cpu = 0.106 (sec), leaf count = 29

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