10.55   ODE No. 1910

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

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

Mathematica: cpu = 0.009501 (sec), leaf count = 39 $$\left\{\{x(t)\to c_3{t}^2+t,y(t)\to c_{2}t+c_3,z(t)\to c_{1}t+\frac{c_3}{t}+c_2\}\right\}$$

Maple: cpu = 0.063 (sec), leaf count = 37 $$\left\{\{x\left(t\right)=\mathit{\_}\mathit{C}\mathit{3}{t}^2+t,y\left(t\right)=t\mathit{\_}\mathit{C}\mathit{2}+\mathit{\_}\mathit{C}\mathit{3},z\left(t\right)=\frac{\mathit{\_}\mathit{C}\mathit{1}{t}^2+t\mathit{\_}\mathit{C}\mathit{2}+\mathit{\_}\mathit{C}\mathit{3}}{t}\}\right\}$$