If the auxiliary equation of a second order system has complex conjugate values, the response will be in the form of: a. cosbt(e^at+e^-at) b. sinbt(e^at+e^-at) c. e^at(cosbt+sinbt) d. e^at(Acosbt+Bsinbt)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.5: Determinants
Problem 72E
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If the auxiliary equation of a second order system has complex conjugate values, the response will be in the form of: a. cosbt(e^at+e^-at) b. sinbt(e^at+e^-at) c. e^at(cosbt+sinbt) d. e^at(Acosbt+Bsinbt)
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