Let y'= Ay be a system of differential equations where A = The matrix has spectrum X(A) = {3} and c = = [8] The vector d = 5 Y2 = k₁e satisfies the equation (A-TI)d = c. What is the general solution to the system of differential equations? t [*][*]+([H]+[H]) (tel E te 3 0 3 is an eigenvector of A corresponding to >> = 3. Ex: 6 Ex: 6 +e F

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Systems of differential equations with repeated real eigenvalues.

 

Let y'= Ay be a system of differential equations where A =
The matrix has spectrum X(A) = {3} and c = = [8]
The vector d =
5
91
Y2
What is the general solution to the system of differential equations?
satisfies the equation (A-TI)d = c.
t
[*][*]+(2¹[H]+[H])
(tel E
k₂ te
= k₁e
3
0 3
is an eigenvector of A corresponding to = 3.
Ex: 6
Ex: 6
+e
F
Transcribed Image Text:Let y'= Ay be a system of differential equations where A = The matrix has spectrum X(A) = {3} and c = = [8] The vector d = 5 91 Y2 What is the general solution to the system of differential equations? satisfies the equation (A-TI)d = c. t [*][*]+(2¹[H]+[H]) (tel E k₂ te = k₁e 3 0 3 is an eigenvector of A corresponding to = 3. Ex: 6 Ex: 6 +e F
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,