2.1900   ODE No. 1900

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

$$\{x^{\prime }(t)=4x(t),y^{\prime }(t)=x(t)-2y(t),z^{\prime }(t)=x(t)-4y(t)+z(t)\}$$ ✓ Mathematica : cpu = 0.0069895 (sec), leaf count = 94

$$\left\{\{x(t)\to c_1{e}^{4t},y(t)\to \frac{1}{6}{c}_1{e}^{-2t}(e^{6t}-1)+c_2{e}^{-2t},z(t)\to \frac{1}{9}{c}_1{e}^{-2t}(e^{3t}+e^{6t}-2)-\frac{4}{3}{c}_2{e}^{-2t}(e^{3t}-1)+c_3{e}^t\}\right\}$$ ✓ Maple : cpu = 0.24 (sec), leaf count = 50

$$\left\{\{x\left(t\right)=\mathit{\_}\mathit{C}\mathit{3}{\mathrm{e}}^{4t},y\left(t\right)=\frac{\mathit{\_}\mathit{C}\mathit{3}{\mathrm{e}}^{4t}}{6}+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{-2t},z\left(t\right)=\frac{\mathit{\_}\mathit{C}\mathit{3}{\mathrm{e}}^{4t}}{9}+\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^t+\frac{4\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{-2t}}{3}\}\right\}$$