Thus the solution approaches the particular solution y p t K ω 2 ω 2 cos ωt 2

# Thus the solution approaches the particular solution

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Thus, the solution approaches the particular solution y p ( t ) = K ( ω 2 0 - ω 2 ) cos( ωt ) + 2 δω sin( ωt ) (( ω 2 0 - ω 2 ) 2 + 4 δ 2 ω 2 ) This particular solution has a maximum response when ω = ω 0 Thus, tuning the forcing function to the natural frequency , ω 0 yields the maximum response Joseph M. Mahaffy, h [email protected] i Lecture Notes – Second Order Linear Equations — (32/32)
• Fall '08
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