Consider the differential equation d2 y dt2 + 2c dy dt + ky = 0, where c and k are
Chapter 9, Problem 26(choose chapter or problem)
Consider the differential equation d2 y dt2 + 2c dy dt + ky = 0, where c and k are positive constants, that governs the behavior of a spring-mass system. Convert the differential equation to a first-order linear system and sketch the corresponding phase portraits. (You will need to distinguish the three cases c2 > k, c2 < k, and c2 = k.) In each case, use your phase portrait to describe the behavior of y for various initial conditions.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer