For which value of a the system of ODEs = : tanh(y₁) + a sin(y2), ý₁ Select one: a. b. a = 2 -1/2 < a < 0 c. a < -1/2 d. 0 < a < 2 y2 = -2 cos(y₁) +2e³¹ +3y2 has an unstable focus at (y₁, y2) = (0,0)

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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For which value of a the system of ODES
y₁
tanh(y₁) + a sin(y₂), y2 = −2 cos(y₁) +2e³¹ +3y₂ has an unstable focus at (y₁, y2) = (0,0)
=
Select one:
a.
= 2
C.
a =
b. -1/2 < a < 0
a < -1/2
d. 0 < a < 2
Transcribed Image Text:For which value of a the system of ODES y₁ tanh(y₁) + a sin(y₂), y2 = −2 cos(y₁) +2e³¹ +3y₂ has an unstable focus at (y₁, y2) = (0,0) = Select one: a. = 2 C. a = b. -1/2 < a < 0 a < -1/2 d. 0 < a < 2
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