21 through 23 deal with the initial value problemu+
Chapter 3, Problem 23(choose chapter or problem)
21 through 23 deal with the initial value problemu+ 0.125u+ 4u = F(t), u(0) = 2, u(0) = 0.In each of these problems:(a) Plot the given forcing function F(t) versus t, and also plot the solution u(t) versus t on thesame set of axes. Use a t interval that is long enough so the initial transients are substantiallyeliminated. Observe the relation between the amplitude and phase of the forcing term andthe amplitude and phase of the response. Note that 0 =k/m = 2.(b) Draw the phase plot of the solution; that is, plot uversus uF(t) = 3 cos 6t
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