2.1902   ODE No. 1902

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

$$\{x^{\prime }(t)-y(t)+z(t)=0,-x(t)+y^{\prime }(t)-y(t)=t,-x(t)+z^{\prime }(t)-z(t)=t\}$$ ✓ Mathematica : cpu = 0.0157643 (sec), leaf count = 226

$$\left\{\{x(t)\to c_2(e^t-1)+c_3(1-e^t)+c_1+e^{-t}(1-e^t)(-t-1)+e^{-t}(e^t-1)(-t-1),y(t)\to c_3(-e^{t}t+e^t-1)+c_1(e^t-1)+c_2(e^{t}t+1)+e^{-t}(-t-1)(-e^{t}t+e^t-1)+e^{-t}(-t-1)(e^{t}t+1),z(t)\to c_3(-e^{t}t+2e^t-1)+c_1(e^t-1)+c_2(e^{t}t-e^t+1)+e^{-t}(-t-1)(-e^{t}t+2e^t-1)+e^{-t}(-t-1)(e^{t}t-e^t+1)\}\right\}$$

✓ Maple : cpu = 0.053 (sec), leaf count = 56

$$\left\{\{x\left(t\right)=\mathit{\_}\mathit{C}\mathit{2}+\mathit{\_}\mathit{C}\mathit{3}{\mathrm{e}}^t,y\left(t\right)=\mathit{\_}\mathit{C}\mathit{3}t{\mathrm{e}}^t+\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^t-\mathit{\_}\mathit{C}\mathit{2}-t-1,z\left(t\right)=\mathit{\_}\mathit{C}\mathit{3}t{\mathrm{e}}^t+\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^t-\mathit{\_}\mathit{C}\mathit{3}{\mathrm{e}}^t-\mathit{\_}\mathit{C}\mathit{2}-t-1\}\right\}$$