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If a real first-order system defined by 1= Ax leads to complex eigenvalues r1,2 = a ±ßi in A, which of the following functions will be found in the solution? eat cos (Bt) and eat sin (ßt) cos (at) and eßt sin (at) eßt e-at -Bt cos (Bt) and e-at sin (ßt) cos (at) and e-ßt sin (at)

If a real first-order system defined by 1= Ax leads to complex eigenvalues r1,2 = a ±ßi in A, which of the following functions will be found in the solution? eat cos (Bt) and eat sin (ßt) cos (at) and eßt sin (at) eßt e-at -Bt cos (Bt) and e-at sin (ßt) cos (at) and e-ßt sin (at)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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If a real first-order system defined by 1= A leads to complex eigenvalues r1,2 = aßi in A, which of the following functions will be found in the solution? O eat cos (Bt) and eat sin (ßt) pßt e Bt cos (at) and eßt sin (at) -at - at e cos (pt) and e -Bt cos (at) and e -Bt sin (ßt) sin (at)
Transcribed Image Text:If a real first-order system defined by 1= A leads to complex eigenvalues r1,2 = aßi in A, which of the following functions will be found in the solution? O eat cos (Bt) and eat sin (ßt) pßt e Bt cos (at) and eßt sin (at) -at - at e cos (pt) and e -Bt cos (at) and e -Bt sin (ßt) sin (at)
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