2.1579   ODE No. 1579

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

$$-ax-b\sin (x)-c\cos (x)+y^{(n)}(x)+y^{\prime }(x)+2y^{(3)}(x)=0$$ ✓ Mathematica : cpu = 0.818077 (sec), leaf count = 80

$$\left\{\{y(x)\to \frac{1}{16}(8a{x}^2+\cos (x)(b(2x^2-9)-2(5cx+8(c_{4}x-c_2+c_3)))+\sin (x)(-6bx+c(13-2x^2)+16(c_{2}x+c_1+c_4)))+c_5\}\right\}$$ ✓ Maple : cpu = 0.978 (sec), leaf count = 69

$$\{y\left(x\right)=\frac{(b{x}^2+(-4c-8\mathit{\_}\mathit{C}\mathit{4})x-6b-8\mathit{\_}\mathit{C}\mathit{2}+8\mathit{\_}\mathit{C}\mathit{3})\cos \left(x\right)}{8}+\frac{(-c{x}^2+(-4b+8\mathit{\_}\mathit{C}\mathit{3})x+6c+8\mathit{\_}\mathit{C}\mathit{1}+8\mathit{\_}\mathit{C}\mathit{4})\sin \left(x\right)}{8}+\frac{a{x}^2}{2}+\mathit{\_}\mathit{C}\mathit{5}\}$$