Let x(t) = [4 cos(100t) + sin(100t) + e-50t cos(50/19t)]. Then deduce that 2 85 (a) x(t) solves (t) + 10x'(t) + 5000x(t) = 400 cos(100t). 10 (b) the steady-state solution from the given x(t). (c) Plot x(t) & xp(t) on the same set of axis and estimate the time required for the transient motion to effectively disappear.
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![Let x(t) = [4 cos(100t) + sin(100t) + e-50t cos(50√19t)]. Then
deduce that
(a) x(t) solves (t) + 10x'(t) + 5000×(t) = 400 cos(100t).
10
(b) the steady-state solution from the given x(t).
(c) Plot x(t) & xp(t) on the same set of axis and estimate the time
required for the transient motion to effectively disappear.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4a4a80f-e3e4-4182-8628-1279fb71bbc9%2F54516637-e5f8-46f5-96dd-d270305098e1%2Fuid343_processed.png&w=3840&q=75)
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