10.4   ODE No. 1859

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

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

Mathematica: cpu = 0.005001 (sec), leaf count = 51 $$\left\{\{x(t)\to c_1{e}^{at}\cos (t)-c_2{e}^{at}\sin (t),y(t)\to c_1{e}^{at}\sin (t)+c_2{e}^{at}\cos (t)\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 37 $$\left\{\{x\left(t\right)={\mathrm{e}}^{at}(\mathit{\_}\mathit{C}\mathit{1}\sin \left(t\right)+\mathit{\_}\mathit{C}\mathit{2}\cos \left(t\right)),y\left(t\right)={\mathrm{e}}^{at}(\sin \left(t\right)\mathit{\_}\mathit{C}\mathit{2}-\cos \left(t\right)\mathit{\_}\mathit{C}\mathit{1})\}\right\}$$