2.1907   ODE No. 1907

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

$$\{x^{\prime }(t)=-3x(t)+48y(t)-28z(t),y^{\prime }(t)=-4x(t)+40y(t)-22z(t),z^{\prime }(t)=-6x(t)+57y(t)-31z(t)\}$$ ✓ Mathematica : cpu = 0.0092997 (sec), leaf count = 179

$$\left\{\{x(t)\to c_1(-e^t)(2e^{2t}-3)+6c_2{e}^t(2e^t+3e^{2t}-5)-2c_3{e}^t(4e^t+5e^{2t}-9),y(t)\to -2c_1{e}^t(e^{2t}-1)+c_2{e}^t(3e^t+18e^{2t}-20)-2c_3{e}^t(e^t+5e^{2t}-6),z(t)\to -3c_1{e}^t(e^{2t}-1)+3c_2{e}^t(e^t+9e^{2t}-10)-c_3{e}^t(2e^t+15e^{2t}-18)\}\right\}$$ ✓ Maple : cpu = 0.06 (sec), leaf count = 66

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