10.46   ODE No. 1901

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

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

Mathematica: cpu = 0.010001 (sec), leaf count = 105 $$\left\{\{x(t)\to c_2(e^t-1)+c_3(1-e^t)+c_1,y(t)\to c_1(e^t-1)+c_2(e^{t}t+1)+c_3(-e^{t}t+e^t-1),z(t)\to c_1(e^t-1)+c_2(e^{t}t-e^t+1)+c_3(-e^{t}t+2e^t-1)\}\right\}$$

Maple: cpu = 0.047 (sec), leaf count = 48 $$\left\{\{x\left(t\right)=\mathit{\_}\mathit{C}\mathit{2}+\mathit{\_}\mathit{C}\mathit{3}{\mathrm{e}}^t,y\left(t\right)=\mathit{\_}\mathit{C}\mathit{3}{\mathrm{e}}^{t}t+\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^t-\mathit{\_}\mathit{C}\mathit{2},z\left(t\right)=\mathit{\_}\mathit{C}\mathit{3}{\mathrm{e}}^{t}t+\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^t-\mathit{\_}\mathit{C}\mathit{3}{\mathrm{e}}^t-\mathit{\_}\mathit{C}\mathit{2}\}\right\}$$