11.11   ODE No. 1923

$$\boxed{{\displaystyle \{(t^2+1)\frac{\mathrm{d}}{\mathrm{d}t}x\left(t\right)=-tx\left(t\right)+y\left(t\right),(t^2+1)\frac{\mathrm{d}}{\mathrm{d}t}y\left(t\right)=-x\left(t\right)-ty\left(t\right)\}}}$$

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

Mathematica: cpu = 0.685587 (sec), leaf count = 53 $$\left\{\{x(t)\to \frac{c_1}{t^2+1}+\frac{c_{2}t}{t^2+1},y(t)\to \frac{c_2}{t^2+1}-\frac{c_{1}t}{t^2+1}\}\right\}$$

Maple: cpu = 0.062 (sec), leaf count = 35 $$\left\{\{x\left(t\right)=\frac{\mathit{\_}\mathit{C}\mathit{1}t+\mathit{\_}\mathit{C}\mathit{2}}{t^2+1},y\left(t\right)=\frac{-t\mathit{\_}\mathit{C}\mathit{2}+\mathit{\_}\mathit{C}\mathit{1}}{t^2+1}\}\right\}$$