Solved: Find the steady-state oscillation of y" + c/ + Y = r(t) with c > 0 and ret) as
Chapter 11, Problem 11.1.105(choose chapter or problem)
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.)
\(r(t)=\cos \omega_{1} t+\cos \omega_{2} t \quad\left(\omega^{2} \neq \omega_{1}{ }^{2}, \omega_{2}{ }^{2}\right)\)
Text Transcription:
y” + omega^2 y = r(t)
r(t) = cos omega_{1} t + cos omega_{2} t (omega^{2} neq omega_1^{2}, omega_2^{2})
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