10.8   ODE No. 1863

$$\boxed{{\displaystyle \{\frac{\mathrm{d}}{\mathrm{d}t}x\left(t\right)+3x\left(t\right)+4y\left(t\right)=0,\frac{\mathrm{d}}{\mathrm{d}t}y\left(t\right)+2x\left(t\right)+5y\left(t\right)=0\}}}$$

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

Mathematica: cpu = 0.007001 (sec), leaf count = 84 $$\left\{\{x(t)\to \frac{1}{3}{c}_1{e}^{-7t}(2e^{6t}+1)-\frac{2}{3}{c}_2{e}^{-7t}(e^{6t}-1),y(t)\to \frac{1}{3}{c}_2{e}^{-7t}(e^{6t}+2)-\frac{1}{3}{c}_1{e}^{-7t}(e^{6t}-1)\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 35 $$\left\{\{x\left(t\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{-t}+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{-7t},y\left(t\right)=-\frac{\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{-t}}{2}+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{-7t}\}\right\}$$