5.27   ODE No. 1475

$$\boxed{{\displaystyle 4\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}y\left(x\right)-8\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)-11\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-3y\left(x\right)+18{\mathrm{e}}^x=0}}$$

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

Mathematica: cpu = 0.021503 (sec), leaf count = 38 $$\left\{\{y(x)\to c_1{e}^{-x/2}+c_2{e}^{-x/2}x+c_3{e}^{3x}+e^x\}\right\}$$

Maple: cpu = 0.015 (sec), leaf count = 26 $$\{y\left(x\right)={\mathrm{e}}^x+\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{3x}+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{-\frac{x}{2}}+\mathit{\_}\mathit{C}\mathit{3}{\mathrm{e}}^{-\frac{x}{2}}x\}$$