Solved: Find the steady-state oscillation of y" + c/ + Y =

Chapter 11, Problem 11.1.106

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Find a general solution of the ODE \(y^{\prime \prime}+\omega^{2} y=r(t)\) with r(t) as given. (Show the details of your work.)

\(r(t)=\sum_{n=1}^{N} a_{n} \cos n t, \quad|\omega| \neq 1,2, \cdots, N\)

Text Transcription:

y” + omega^2 y = r(t)

r(t) = sum_{n = 1}^{N} a_n cos n t,     |omega| neq 1,2, cdots, N

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