10.24   ODE No. 1879

$$\boxed{{\displaystyle \{t\frac{\mathrm{d}}{\mathrm{d}t}x\left(t\right)+2x\left(t\right)-2y\left(t\right)=t,t\frac{\mathrm{d}}{\mathrm{d}t}y\left(t\right)+x\left(t\right)+5y\left(t\right)=t^2\}}}$$

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

Mathematica: cpu = 0.057507 (sec), leaf count = 58 $$\left\{\{x(t)\to \frac{c_1}{t^4}+\frac{c_2}{t^3}+\frac{1}{30}t(2t+9),y(t)\to -\frac{c_1}{t^4}-\frac{c_2}{2t^3}+\frac{1}{60}t(8t-3)\}\right\}$$

Maple: cpu = 0.046 (sec), leaf count = 54 $$\left\{\{x\left(t\right)=\frac{2t^6+9t^5+30t\mathit{\_}\mathit{C}\mathit{2}+30\mathit{\_}\mathit{C}\mathit{1}}{30t^4},y\left(t\right)=-\frac{-8t^6+3t^5+30t\mathit{\_}\mathit{C}\mathit{2}+60\mathit{\_}\mathit{C}\mathit{1}}{60t^4}\}\right\}$$