2.1870   ODE No. 1870

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

$$\{x^{\prime }(t)+y^{\prime }(t)-y(t)=e^t,2x^{\prime }(t)+y^{\prime }(t)+2y(t)=\cos (t)\}$$ ✓ Mathematica : cpu = 0.316786 (sec), leaf count = 71

$$\left\{\{x(t)\to -\frac{3}{4}{c}_2{e}^{4t}+c_1+\frac{3c_2}{4}+e^t+\frac{5\sin (t)}{17}-\frac{3\cos (t)}{17},y(t)\to c_2{e}^{4t}-\frac{2e^t}{3}-\frac{\sin (t)}{17}+\frac{4\cos (t)}{17}\}\right\}$$

✓ Maple : cpu = 0.113 (sec), leaf count = 47

$$\left\{\{x\left(t\right)=\frac{\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{4t}}{4}+\frac{5\sin \left(t\right)}{17}-\frac{3\cos \left(t\right)}{17}+{\mathrm{e}}^t+\mathit{\_}\mathit{C}\mathit{2},y\left(t\right)=-\frac{\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{4t}}{3}+\frac{4\cos \left(t\right)}{17}-\frac{\sin \left(t\right)}{17}-\frac{2{\mathrm{e}}^t}{3}\}\right\}$$