Consider the initial value problem y + y + y = k(t 1), y(0) = 0, y (0) = 0, where k is
Chapter 6, Problem 15(choose chapter or problem)
Consider the initial value problem y + y + y = k(t 1), y(0) = 0, y (0) = 0, where k is the magnitude of an impulse at t = 1 and is the damping coefficient (or resistance). (a) Let = 1 2 . Find the value of k for which the response has a peak value of 2; call this value k1. (b) Repeat part (a) for = 1 4 . (c) Determine how k1 varies as decreases. What is the value of k1 when = 0?
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