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2. Consider the following initial-value problem for the spring mass system. d²y dt² dy +2+y = 0, y(0) = -1, dt dy dt - (0) = 2 a. Is the system

overdamped, underdamped or critically damped? Explain how you know. b. Determine if the system passes through the equilibrium position. If it does, give the time t.

Fig: 1