Solved: The position of a certain lightly damped oscillator satisfies the initial value
Chapter 6, Problem 23(choose chapter or problem)
The position of a certain lightly damped oscillator satisfies the initial value problem y + 0.1y + y = 20 k=1 (1) k+1 (t k), y(0) = 0, y (0) = 0. Observe that, except for the damping term, this problem is the same as 18. (a) Try to predict the nature of the solution without solving the problem. (b) Test your prediction by finding the solution and drawing its graph. (c) Determine what happens after the sequence of impulses ends.
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