0.8 0.6 0.4 0.2 0 -0.2 -0.4 -0.6 -0.8 -1 -1 -0.5 Problem 2 - Phase Portrait 0 0.5 Problem 3: Analyze the phase portrait from Problem 2 for the initial conditions of x₁(0) = 0.5 and x₂(0) = 0.3. As t → ∞ to what values do x₁(t) and x₂(t) converge to?

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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Related questions
Question

The systems of equations are x_1 = -5x1 + x2 and x_2 = 4x1 - 2x2

0.8
0.6
0.4
0.2
0
-0.2
-0.4
-0.6
-0.8
-1
-1
-0.5
Problem 2 - Phase Portrait
0
0.5
Problem 3: Analyze the phase portrait from Problem 2 for the initial conditions of x₁(0) = 0.5 and x₂(0) = 0.3.
As t → ∞ to what values do x₁(t) and x₂(t) converge to?
Transcribed Image Text:0.8 0.6 0.4 0.2 0 -0.2 -0.4 -0.6 -0.8 -1 -1 -0.5 Problem 2 - Phase Portrait 0 0.5 Problem 3: Analyze the phase portrait from Problem 2 for the initial conditions of x₁(0) = 0.5 and x₂(0) = 0.3. As t → ∞ to what values do x₁(t) and x₂(t) converge to?
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