At t=0, a sudden shock is applied to an arbitrary system, to yield the model theta''(t)+6theta'(t)+10theta=7f(t), with i

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At t=0, a sudden shock is applied to an arbitrary system, to
yield the model
theta''(t)+6theta'(t)+10theta=7f(t),
with initial displacement theta(0)=1 and initial velocity
theta'(0). Find an expression for the displacement theta in terms
of t. Will the system eventually come to rest? Explain.