2.1885   ODE No. 1885

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

$$\{t{x}^{\prime }(t)-t{y}^{\prime }(t)-2y(t)=0,t{x}^{″}(t)+2x^{\prime }(t)+tx(t)=0\}$$ ✗ Mathematica : cpu = 0.0331359 (sec), leaf count = 0 , could not solve

DSolve[{-2*y[t] + t*Derivative[1][x][t] - t*Derivative[1][y][t] == 0, t*x[t] + 2*Derivative[1][x][t] + t*Derivative[2][x][t] == 0}, {x[t], y[t]}, t]

✓ Maple : cpu = 0.081 (sec), leaf count = 47

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