Forced Vibrations. As discussed in Section 4.1, a vibrating spring with damping that is under external force can be modeled by
where
a. Determine the form of the equation of motion for the spring system when
b. Discuss the long-term behavior of this system. [Hint: Consider what happens to the general solution obtained in part (a) as
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Fundamentals of Differential Equations and Boundary Value Problems
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