A particle's displacement r(t) is governed by the differential equation Determine any equilibrium point(s) of the system and show that the equation of the general phase path is, for C constant, 12 8 x-2 (1-2) * = x=2+- + + C. The particle is set in motion at t=0 with displacement x = 3 and velocity z = 27. Find the particular phase path along which it moves, and sketch the full path indicating the particle's motion. What would happen to a different particle released simultaneously on the same path with displacement r