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 = 0.609514 (sec), leaf count = 72

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

✓ Maple : cpu = 0.162 (sec), leaf count = 69

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