10.11   ODE No. 1866

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

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

Mathematica: cpu = 0.027003 (sec), leaf count = 132 $$\left\{\{x(t)\to -c_2\sin (2t)+c_1\cos (2t)+\cos (2t)(\frac{3}{2}t\sin (2t)-\frac{5}{4}\cos (2t))-\sin (2t)(\frac{5}{4}\sin (2t)+\frac{3}{2}t\cos (2t)),y(t)\to c_1\sin (2t)+c_2\cos (2t)+\cos (2t)(\frac{5}{4}\sin (2t)+\frac{3}{2}t\cos (2t))+\sin (2t)(\frac{3}{2}t\sin (2t)-\frac{5}{4}\cos (2t))\}\right\}$$

Maple: cpu = 0.032 (sec), leaf count = 39 $$\left\{\{x\left(t\right)=\sin \left(2t\right)\mathit{\_}\mathit{C}\mathit{2}+\cos \left(2t\right)\mathit{\_}\mathit{C}\mathit{1}-\frac{5}{4},y\left(t\right)=-\cos \left(2t\right)\mathit{\_}\mathit{C}\mathit{2}+\sin \left(2t\right)\mathit{\_}\mathit{C}\mathit{1}+\frac{3t}{2}\}\right\}$$