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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 26E
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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.
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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