Consider a vibrating system described by the initial value problem u + 1 4u + 2u = 2 cos

Chapter 3, Problem 17

(choose chapter or problem)

Consider a vibrating system described by the initial value problem u + 1 4u + 2u = 2 cos t, u(0) = 0, u (0) = 2. (a) Determine the steady state part of the solution of this problem. (b) Find the amplitude A of the steady state solution in terms of . (c) Plot A versus . (d) Find the maximum value of A and the frequency for which it occurs.

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