Consider the forced but undamped system described by the
Question and Solution
Consider the forced but undamped system described by the initial value problem y?? + y = 3 cos?t, y(0) = 0, y? (0) = 0.
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Consider the forced but undamped system described by the initial value problem y?? + y = 3 cos?t, y(0) = 0, y? (0) = 0. (a) Find the solution y(t) for ? ? 1. (b) Plot the solution y(t) versus t for ? = 0.7, ? = 0.8, and ? = 0.9. Describe how the response y(t) changes as ? varies in this interval. What happens as ? takes on values closer and closer to 1? Note that the natural frequency of the unforced system is ?0 = 1.
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