2.1864   ODE No. 1864

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

$$\{x^{\prime }(t)=-5x(t)-2y(t),y^{\prime }(t)=x(t)-7y(t)\}$$ ✓ Mathematica : cpu = 0.0126829 (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 = 0.038 (sec), leaf count = 48

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