10.9   ODE No. 1864

$$\boxed{{\displaystyle \{\frac{\mathrm{d}}{\mathrm{d}t}x\left(t\right)=-5x\left(t\right)-2y\left(t\right),\frac{\mathrm{d}}{\mathrm{d}t}y\left(t\right)=x\left(t\right)-7y\left(t\right)\}}}$$

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

Mathematica: cpu = 0.013002 (sec), leaf count = 59 $$\left\{\{x(t)\to c_1{e}^{-6t}(\sin (t)+\cos (t))-2c_2{e}^{-6t}\sin (t),y(t)\to c_1{e}^{-6t}\sin (t)+c_2{e}^{-6t}(\cos (t)-\sin (t))\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 46 $$\left\{\{x\left(t\right)={\mathrm{e}}^{-6t}(\sin \left(t\right)\mathit{\_}\mathit{C}\mathit{1}+\cos \left(t\right)\mathit{\_}\mathit{C}\mathit{2}),y\left(t\right)=\frac{{\mathrm{e}}^{-6t}(\sin \left(t\right)\mathit{\_}\mathit{C}\mathit{1}+\sin \left(t\right)\mathit{\_}\mathit{C}\mathit{2}-\cos \left(t\right)\mathit{\_}\mathit{C}\mathit{1}+\cos \left(t\right)\mathit{\_}\mathit{C}\mathit{2})}{2}\}\right\}$$