5.4   ODE No. 1452

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

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

Mathematica: cpu = 0.006001 (sec), leaf count = 54 $$\left\{\{y(x)\to c_3{e}^x+c_1{e}^{-x/2}\sin \left(\frac{\sqrt{15}x}{2}\right)+c_2{e}^{-x/2}\cos \left(\frac{\sqrt{15}x}{2}\right)\}\right\}$$

Maple: cpu = 0.016 (sec), leaf count = 35 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^x+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{-\frac{x}{2}}\sin \left(\frac{\sqrt{15}x}{2}\right)+\mathit{\_}\mathit{C}\mathit{3}{\mathrm{e}}^{-\frac{x}{2}}\cos \left(\frac{\sqrt{15}x}{2}\right)\}$$