\[ \left \{t x'(t)-t y'(t)-2 y(t)=0,2 x'(t)+t x''(t)+t x(t)=0\right \} \] ✗ Mathematica : cpu = 0.0163489 (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 = 0.218 (sec), leaf count = 47
\[ \left \{ \left \{ x \left ( t \right ) ={\frac {\sin \left ( t \right ) {\it \_C2}+{\it \_C3}\,\cos \left ( t \right ) }{t}},y \left ( t \right ) ={\frac { \left ( {\it \_C3}\,t+2\,{\it \_C2} \right ) \cos \left ( t \right ) + \left ( {\it \_C2}\,t-2\,{\it \_C3} \right ) \sin \left ( t \right ) +{\it \_C1}}{{t}^{2}}} \right \} \right \} \]