Find all solutions of the following system of linear equations: dx dt = = 4x + 8y, Xg dy dt = Hi, I have to ask this question for the third time because the answers given were incomplete. Here, eigenvalue 0 is a repeated eigenvalue. So, answer includes two eigenvectors of corresponding eigenvalue, 0. Could you also show me how can I find the second eigenvector of it? Answer key says that the answer is: = C1 - 2x - 4y 5,-[i]+[21-26] c₂t

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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Find all solutions of the following system of linear
equations:
dx
dt
=
4x + 8y,
dy
dt
Xg = C1
=
-2x - 4y
Hi, I have to ask this question for the third time
because the answers given were incomplete.
Here, eigenvalue 0 is a repeated eigenvalue. So,
answer includes two eigenvectors of corresponding
eigenvalue, 0. Could you also show me how can I
find the second eigenvector of it?
Answer key says that the answer is:
[1] +0₂² [2¹] -0₂H]
1-2
Transcribed Image Text:Find all solutions of the following system of linear equations: dx dt = 4x + 8y, dy dt Xg = C1 = -2x - 4y Hi, I have to ask this question for the third time because the answers given were incomplete. Here, eigenvalue 0 is a repeated eigenvalue. So, answer includes two eigenvectors of corresponding eigenvalue, 0. Could you also show me how can I find the second eigenvector of it? Answer key says that the answer is: [1] +0₂² [2¹] -0₂H] 1-2
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