Consider the system of linear differential equations We want to determine the stability of the origin. a) This system can be written in the form X'= = AX, where A = ab sin (a) ə əx f ∞ x₁ (t) = −32/3 x₁ (t) – 25/3 x2 (t) x (t) = 28/3 x₁ (t) + 32/3 x2 (t) PO a Ω + X(t) = (21 (6)) and P b) Find the eigenvalues of A. List them between square braquets and separated by commas if there are more than one. Eigenvalues:
Consider the system of linear differential equations We want to determine the stability of the origin. a) This system can be written in the form X'= = AX, where A = ab sin (a) ə əx f ∞ x₁ (t) = −32/3 x₁ (t) – 25/3 x2 (t) x (t) = 28/3 x₁ (t) + 32/3 x2 (t) PO a Ω + X(t) = (21 (6)) and P b) Find the eigenvalues of A. List them between square braquets and separated by commas if there are more than one. Eigenvalues:
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
![Consider the system of linear differential equations
We want to determine the stability of the origin.
a) This system can be written in the form Xx' = AX, where X(t) =
A
=
ab sin (a)
əx
f
(t)=-32/3₁ (t)- 25/3x2 (t)
r(t) = 28/3 x₁ (t) + 32/3 x₂ (t)
8
α Ω
and
ALI
Pi
b) Find the eigenvalues of A. List them between square braquets and separated by commas if there are more than one.
Eigenvalues:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff860867d-5eea-40c2-985f-7e9a6b60d145%2F3e2105f6-8761-459b-b2db-2e3986a261e4%2Fzcbsx7a_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the system of linear differential equations
We want to determine the stability of the origin.
a) This system can be written in the form Xx' = AX, where X(t) =
A
=
ab sin (a)
əx
f
(t)=-32/3₁ (t)- 25/3x2 (t)
r(t) = 28/3 x₁ (t) + 32/3 x₂ (t)
8
α Ω
and
ALI
Pi
b) Find the eigenvalues of A. List them between square braquets and separated by commas if there are more than one.
Eigenvalues:
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