For which value of a the system of ODES —D У1 + ау2 + (е -У — 1), У2 3D —ауј — У2 has an unstable focus at (y1, y2) = (0,0)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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For which value of a the system of ODES
-2у1 — 1),
ў — У1 + ау2 + (е -у — 1), Уз — —ауј — У2
has an unstable focus at
(У1» У2) %3D
(y1, y2)
(0,0)
Select one:
О а.
Never
ОБ. а<—2
O C.
-00 < a < 0∞
O d. -2 < a < 0
Transcribed Image Text:For which value of a the system of ODES -2у1 — 1), ў — У1 + ау2 + (е -у — 1), Уз — —ауј — У2 has an unstable focus at (У1» У2) %3D (y1, y2) (0,0) Select one: О а. Never ОБ. а<—2 O C. -00 < a < 0∞ O d. -2 < a < 0
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