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4. Consider the forced undamped system described by the initial value probler u" + 2u = 2 cos(wt), Find the solution u(t) for w+ √2. What happens if w = √2? Note that the = u(0) = 0, u' (0) = 0 frequency of the unforced system is wo √2. =

4. Consider the forced undamped system described by the initial value probler u" + 2u = 2 cos(wt), Find the solution u(t) for w+ √2. What happens if w = √2? Note that the = u(0) = 0, u' (0) = 0 frequency of the unforced system is wo √2. =

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 17EQ
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4. Consider the forced undamped system described by the initial value probler u" + 2u = 2 cos(wt), u(0) = 0, u' (0) = 0 Find the solution u(t) for w+ √2. What happens if w = √2 ? Note that the frequency of the unforced system is wo = = √2.
Transcribed Image Text:4. Consider the forced undamped system described by the initial value probler u" + 2u = 2 cos(wt), u(0) = 0, u' (0) = 0 Find the solution u(t) for w+ √2. What happens if w = √2 ? Note that the frequency of the unforced system is wo = = √2.
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