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
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
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F984929df-3552-4cb7-9faa-689490141d17%2Fbd321181-b97b-4140-b120-f1e4c9007044%2Fg7xedo_processed.jpeg&w=3840&q=75)
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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