Let k be a positive integer and y be a column vector of functions with length 2k. We have the system of differential equations y' = My, = where Mi,k+iMk+i,i = i for 1
Let k be a positive integer and y be a column vector of functions with length 2k. We have the system of differential equations y' = My, = where Mi,k+iMk+i,i = i for 1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 27E
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![Let k be a positive integer and y be a column vector of functions with length 2k.
We have the system of differential equations
y' = My,
=
where Mi,k+iMk+i,i = i for 1<i <k (all other entries of M are 0). What is the solution
to this system of differential equations?
Oh, no! It looks like you were using the wrong matrix. We still have the same
system of differential equations
y' = My,
but this time, we have Mik+i
Mk+i,i = 1 for 1≤i≤k (all other entries are still 0). What
is the new solution to this system of differential equations?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4839ccb5-f2c1-48f2-81bb-13fb93f3a5c8%2F7389174c-b97f-4a24-ad0e-7d5b13ddc9d7%2F6uk7rjd_processed.png&w=3840&q=75)
Transcribed Image Text:Let k be a positive integer and y be a column vector of functions with length 2k.
We have the system of differential equations
y' = My,
=
where Mi,k+iMk+i,i = i for 1<i <k (all other entries of M are 0). What is the solution
to this system of differential equations?
Oh, no! It looks like you were using the wrong matrix. We still have the same
system of differential equations
y' = My,
but this time, we have Mik+i
Mk+i,i = 1 for 1≤i≤k (all other entries are still 0). What
is the new solution to this system of differential equations?
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