\[ \left \{t x'(t)-t y'(t)-2 y(t)=0,t x''(t)+2 x'(t)+t x(t)=0\right \} \] ✗ 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
\[ \left \{ \left \{ x \left ( t \right ) ={\frac {{\it \_C3}\,\cos \left ( t \right ) +\sin \left ( t \right ) {\it \_C2}}{t}},y \left ( t \right ) ={\frac {\cos \left ( t \right ) {\it \_C3}\,t+\sin \left ( t \right ) {\it \_C2}\,t+2\,\cos \left ( t \right ) {\it \_C2}-2\,{\it \_C3}\,\sin \left ( t \right ) +{\it \_C1}}{{t}^{2}}} \right \} \right \} \]