6.15   ODE No. 1548

$$\boxed{{\displaystyle 4\mathit{d}\mathit{4}\mathit{y}\left(x\right)-12\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}y\left(x\right)+11\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)-3\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-4\cos \left(x\right)=0}}$$

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

Mathematica: cpu = 0.098513 (sec), leaf count = 50 $$\left\{\{y(x)\to 2c_1{e}^{x/2}+\frac{2}{3}{c}_2{e}^{3x/2}+c_3{e}^x+c_4+\frac{18\sin (x)}{65}-\frac{14\cos (x)}{65}\}\right\}$$

Maple: cpu = 0.047 (sec), leaf count = 32 $$\{y\left(x\right)=-\frac{14\cos \left(x\right)}{65}+\frac{18\sin \left(x\right)}{65}+\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^x+2\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{x/2}+\frac{2\mathit{\_}\mathit{C}\mathit{3}}{3}{\mathrm{e}}^{\frac{3x}{2}}+\mathit{\_}\mathit{C}\mathit{4}\}$$