For which value of a the system of ODES y₁ = ayı + y2 +y₁(e2-1), Select one: O a. -2 < a < 0 O b. a < -2 O c. 0 < a < 2 O d. a> 2 y2 = -y₁ + 2ay2 has an unstable focus at (y1, y2) = (0,0)
For which value of a the system of ODES y₁ = ayı + y2 +y₁(e2-1), Select one: O a. -2 < a < 0 O b. a < -2 O c. 0 < a < 2 O d. a> 2 y2 = -y₁ + 2ay2 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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Transcribed Image Text:For which value of a the system of ODES
y2 = -y₁ + 2ay2 has an unstable focus at (y1, y2) = (0,0)
y₁ = ayı + y2 + y₁(e2 - 1),
Select one:
O a.
-2 < a < 0
O b.
a < -2
O c. 0 < a < 2
O d. a> 2
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