10.44   ODE No. 1899

$$\boxed{{\displaystyle \{\frac{\mathrm{d}}{\mathrm{d}t}x\left(t\right)=2x\left(t\right),\frac{\mathrm{d}}{\mathrm{d}t}y\left(t\right)=3x\left(t\right)-2y\left(t\right),\frac{\mathrm{d}}{\mathrm{d}t}z\left(t\right)=2y\left(t\right)+3z\left(t\right)\}}}$$

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

Mathematica: cpu = 0.010501 (sec), leaf count = 112 $$\left\{\{x(t)\to c_1{e}^{2t},y(t)\to \frac{3}{4}{c}_1{e}^{-2t}(e^{4t}-1)+c_2{e}^{-2t},z(t)\to \frac{3}{10}{c}_1{e}^{-2t}(2e^t+3e^{2t}+4e^{3t}+1){(e^t-1)}^2+\frac{2}{5}{c}_2{e}^{-2t}(e^{5t}-1)+c_3{e}^{3t}\}\right\}$$

Maple: cpu = 0.078 (sec), leaf count = 52 $$\left\{\{x\left(t\right)=\mathit{\_}\mathit{C}\mathit{3}{\mathrm{e}}^{2t},y\left(t\right)=\frac{3\mathit{\_}\mathit{C}\mathit{3}{\mathrm{e}}^{2t}}{4}+{\mathrm{e}}^{-2t}\mathit{\_}\mathit{C}\mathit{2},z\left(t\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{3t}-\frac{3\mathit{\_}\mathit{C}\mathit{3}{\mathrm{e}}^{2t}}{2}-\frac{2{\mathrm{e}}^{-2t}\mathit{\_}\mathit{C}\mathit{2}}{5}\}\right\}$$