2.1528   ODE No. 1528

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

$$y^{(3)}(x)\sin (x)+(2\cos (x)+1)y^{″}(x)-\sin (x)y^{\prime }(x)-\cos (x)=0$$ ✓ Mathematica : cpu = 0.668773 (sec), leaf count = 56

$$\left\{\{y(x)\to -\frac{c_{2}x}{\sqrt{2}}-\frac{\cot \left(\frac{x}{2}\right)(c_2\log (2(\cos (x)+1))+2c_1)}{\sqrt{2}}+c_3+\cot \left(\frac{x}{2}\right){\sin }^{-1}(\cos (x))\}\right\}$$

✓ Maple : cpu = 0.221 (sec), leaf count = 71

$$\{y\left(x\right)=\frac{1}{\sin \left(x\right)(\cos \left(x\right)-1)}({(\sin \left(x\right))}^2\ln \left(\frac{-\cos \left(x\right)+1}{\sin \left(x\right)}\right)\mathit{\_}\mathit{C}\mathit{1}-\ln (\sin \left(x\right)){(\sin \left(x\right))}^2\mathit{\_}\mathit{C}\mathit{1}+{(\sin \left(x\right))}^2\mathit{\_}\mathit{C}\mathit{3}+(\cos \left(x\right)-1)(\mathit{\_}\mathit{C}\mathit{1}x+\mathit{\_}\mathit{C}\mathit{2}+1)\sin \left(x\right)-{(\cos \left(x\right))}^{2}x+x)\}$$