1. The problem statement, all variables and given/known data A one dimensional damped oscillator with coordinate q satisfies the equation q_double dot+4*q_single dot+3q=0 q_single dot=v v_single dot=-3*q-4*v show that the area a(t) of any region of points moving in (q,v) space has the time variation a(t)=a(0)*exp(-4*t). 2. Relevant equations 3. The attempt at a solution F=(F_1,F_2)=(v, -3*q-4v) div F=(d/dq,d/dv)*(F_1,F_2) div F= (0,-4) dv/dt=integral of R_0 div F(x,0)dx_1dx_2 Not sure what to do after that.