10.2   ODE No. 1857

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

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

Mathematica: cpu = 0.039505 (sec), leaf count = 39 $$\left\{\{x(t)\to c_2\sin (at)+c_1\cos (at),y(t)\to c_2\cos (at)-c_1\sin (at)\}\right\}$$

Maple: cpu = 0.047 (sec), leaf count = 35 $$\left\{\{x\left(t\right)=\mathit{\_}\mathit{C}\mathit{1}\sin \left(at\right)+\mathit{\_}\mathit{C}\mathit{2}\cos \left(at\right),y\left(t\right)=\cos \left(at\right)\mathit{\_}\mathit{C}\mathit{1}-\sin \left(at\right)\mathit{\_}\mathit{C}\mathit{2}\}\right\}$$