\[ \left \{x'(t)+y'(t)=x(t) y(t),y'(t)+z'(t)=y(t) z(t),x'(t)+z'(t)=x(t) z(t)\right \} \] ✗ Mathematica : cpu = 125.04 (sec), leaf count = 0 , could not solve
DSolve[{Derivative[1][x][t] + Derivative[1][y][t] == x[t]*y[t], Derivative[1][y][t] + Derivative[1][z][t] == y[t]*z[t], Derivative[1][x][t] + Derivative[1][z][t] == x[t]*z[t]}, {x[t], y[t], z[t]}, t]
✓ Maple : cpu = 2.724 (sec), leaf count = 17738 \[ \text {Too large to display} \]