8. dx dt dy dt b. a. Consider the system = 2x+y =-X Write the system in matrix form. Clearly state your matrices A and X. By substitution, show whether X₂ for the system of DEs in part a. = - (3) and X₂ - [14]te = tet form a fundame
8. dx dt dy dt b. a. Consider the system = 2x+y =-X Write the system in matrix form. Clearly state your matrices A and X. By substitution, show whether X₂ for the system of DEs in part a. = - (3) and X₂ - [14]te = tet form a fundame
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
![8.
dx
dt
dy
dt
b.
a.
Consider the system
= 2x+y
=-X
Write the system in matrix form. Clearly state your matrices A and X.
By substitution, show whether X₂
=
for the system of DEs in part a.
(3) e
13
and X₂=
4
-(1)te'
form a fundamental set](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc033cde6-9355-4f65-911a-aa4e14330b10%2F97a6ac97-9597-46da-bb46-09924298ee47%2Fxte7u38_processed.jpeg&w=3840&q=75)
Transcribed Image Text:8.
dx
dt
dy
dt
b.
a.
Consider the system
= 2x+y
=-X
Write the system in matrix form. Clearly state your matrices A and X.
By substitution, show whether X₂
=
for the system of DEs in part a.
(3) e
13
and X₂=
4
-(1)te'
form a fundamental set
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