Consider the system x' = x. For what values of a do the trajectories of the system exhibit oscillation (i.e. oscillate around the equilibrium)? A) all values of a B) a < 0 C) α<4 D ) -1<α<1 Ε ) -2<α<2 F) None of these

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the system x' =
x. For what values of a do the trajectories of
1
the system exhibit oscillation (i.e. oscillate around the equilibrium)?
A) all values of a
Β ) α0
C) a < 4
D) -1<α< 1
Ε) -2<α <2
F) None of these
Transcribed Image Text:Consider the system x' = x. For what values of a do the trajectories of 1 the system exhibit oscillation (i.e. oscillate around the equilibrium)? A) all values of a Β ) α0 C) a < 4 D) -1<α< 1 Ε) -2<α <2 F) None of these
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