2.1867   ODE No. 1867

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

$$\{-t^2+x^{\prime }(t)+y(t)+6t+1=0,y^{\prime }(t)-x(t)=-3t^2+3t+1\}$$ ✓ Mathematica : cpu = 0.0826224 (sec), leaf count = 124

$$\left\{\{x(t)\to -c_2\sin (t)+c_1\cos (t)+\cos (t)((3t^2-t-13)\cos (t)+(t-12)t\sin (t))-\sin (t)((-3t^2+t+13)\sin (t)+(t-12)t\cos (t)),y(t)\to c_1\sin (t)+c_2\cos (t)+\cos (t)((-3t^2+t+13)\sin (t)+(t-12)t\cos (t))+\sin (t)((3t^2-t-13)\cos (t)+(t-12)t\sin (t))\}\right\}$$

✓ Maple : cpu = 0.034 (sec), leaf count = 42

$$\left\{\{x\left(t\right)=\sin \left(t\right)\mathit{\_}\mathit{C}\mathit{2}+\cos \left(t\right)\mathit{\_}\mathit{C}\mathit{1}+3t^2-t-13,y\left(t\right)=t^2-\cos \left(t\right)\mathit{\_}\mathit{C}\mathit{2}+\sin \left(t\right)\mathit{\_}\mathit{C}\mathit{1}-12t\}\right\}$$