2 -1 Consider the nonhomgeneous system y' = A(t) y+ g(t), where A(t) =| tet g(t) =| a. Find the fundamental matrix of y'= A(t) y . b. Find the solution ø of the nonhomogeneous system for which ø(0)=|, %3!
2 -1 Consider the nonhomgeneous system y' = A(t) y+ g(t), where A(t) =| tet g(t) =| a. Find the fundamental matrix of y'= A(t) y . b. Find the solution ø of the nonhomogeneous system for which ø(0)=|, %3!
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
Plz solve this question by this method that I gave
Thanks
![PROBLEM #2
2 -1
Consider the nonhomgeneous system y' = A(t) y+ g(t), where A(t) =|
g(t) =
a. Find the fundamental matrix of y' = A(t) y.
b. Find the solution of the nonhomogeneous system for which ø(0)=| `,|
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F809ea80f-264d-4b8d-bea9-f3fa3d0de11b%2F2b135fd9-279f-45be-8f01-a12cd9d21603%2Fz1tfpc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:PROBLEM #2
2 -1
Consider the nonhomgeneous system y' = A(t) y+ g(t), where A(t) =|
g(t) =
a. Find the fundamental matrix of y' = A(t) y.
b. Find the solution of the nonhomogeneous system for which ø(0)=| `,|
%3D
![y= A (4) y + g(4)
A lt)
%3D
t
Ginen the fundamental matrix
at
Find 0: 00 =|
p(4) = n +
A-s)A
grods
ds
(2t 1
t
t
2t 1
$14)=/+4)
2t +4/
2t 1-
-4t
It
at +4
%3D
d (4) =
4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F809ea80f-264d-4b8d-bea9-f3fa3d0de11b%2F2b135fd9-279f-45be-8f01-a12cd9d21603%2Fz8eiz7s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:y= A (4) y + g(4)
A lt)
%3D
t
Ginen the fundamental matrix
at
Find 0: 00 =|
p(4) = n +
A-s)A
grods
ds
(2t 1
t
t
2t 1
$14)=/+4)
2t +4/
2t 1-
-4t
It
at +4
%3D
d (4) =
4
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