5. Let h - Ah = x = [1 + ²√5 h = √5], 0 where h is a real parameter. (a) Find all values of h for which the system X' = spiral source. (b) AhX has either a center, a spiral s Find all values of h for which X' = A₁ X has a sink or
5. Let h - Ah = x = [1 + ²√5 h = √5], 0 where h is a real parameter. (a) Find all values of h for which the system X' = spiral source. (b) AhX has either a center, a spiral s Find all values of h for which X' = A₁ X has a sink or
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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Question
![5.
Let
h
Ah
x = [h₁ + ²√5 h = √5],
where h is a real parameter.
(a) Find all values of h for which the system X' = AX has either a center, a spiral sink, or a
spiral source.
(b)
Find all values of h for which X' = AX has a sink or a source.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4eeb722f-cbfc-4759-9280-7bcb5946c98a%2Fb5388bb0-1c1c-4006-aa3f-c0e6cb882a3d%2Fbdx6qh_processed.png&w=3840&q=75)
Transcribed Image Text:5.
Let
h
Ah
x = [h₁ + ²√5 h = √5],
where h is a real parameter.
(a) Find all values of h for which the system X' = AX has either a center, a spiral sink, or a
spiral source.
(b)
Find all values of h for which X' = AX has a sink or a source.
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