2.1873   ODE No. 1873

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

$$\{4x^{\prime }(t)+44x(t)+9y^{\prime }(t)+49y(t)=t,3x^{\prime }(t)+34x(t)+7y^{\prime }(t)+38y(t)=e^t\}$$ ✓ Mathematica : cpu = 0.090829 (sec), leaf count = 322

$$\left\{\{x(t)\to \frac{1}{5}{c}_1{e}^{-6t}(4e^{5t}+1)-\frac{1}{5}{c}_2{e}^{-6t}(e^{5t}-1)-\frac{1}{5}{e}^{-6t}(e^{5t}-1)(\frac{16}{5}{e}^{6t}(\frac{t}{6}-\frac{1}{36})+4e^{2t}-\frac{4e^{7t}}{7}-\frac{31}{5}{e}^t(t-1))+\frac{1}{25}{e}^{-6t}(4e^{5t}+1)(e^{6t}(\frac{2t}{3}-\frac{1}{9})-20e^{2t}-\frac{5e^{7t}}{7}+e^t(31t-31)),y(t)\to -\frac{4}{5}{c}_1{e}^{-6t}(e^{5t}-1)+\frac{1}{5}{c}_2{e}^{-6t}(e^{5t}+4)+\frac{1}{5}{e}^{-6t}(e^{5t}+4)(\frac{16}{5}{e}^{6t}(\frac{t}{6}-\frac{1}{36})+4e^{2t}-\frac{4e^{7t}}{7}-\frac{31}{5}{e}^t(t-1))-\frac{4}{25}{e}^{-6t}(e^{5t}-1)(e^{6t}(\frac{2t}{3}-\frac{1}{9})-20e^{2t}-\frac{5e^{7t}}{7}+e^t(31t-31))\}\right\}$$ ✓ Maple : cpu = 0.046 (sec), leaf count = 52

$$\left\{\{x\left(t\right)={\mathrm{e}}^{-6t}\mathit{\_}\mathit{C}\mathit{2}+\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{-t}-\frac{56}{9}-\frac{29{\mathrm{e}}^t}{7}+\frac{19t}{3},y\left(t\right)=4{\mathrm{e}}^{-6t}\mathit{\_}\mathit{C}\mathit{2}-\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{-t}+\frac{24{\mathrm{e}}^t}{7}+\frac{55}{9}-\frac{17t}{3}\}\right\}$$