3. Consider the periodic system y' = A(t)y, -1+ 0t 1-ost sin |-1- sint cost ) 3 cos2 2 3 3 A(t) = 2 3 -1+ sin?t 2 (a) Find eigenvalues of A(t) cos (b) Verify that the function (t) = (n et/2 is a solution of the equation
3. Consider the periodic system y' = A(t)y, -1+ 0t 1-ost sin |-1- sint cost ) 3 cos2 2 3 3 A(t) = 2 3 -1+ sin?t 2 (a) Find eigenvalues of A(t) cos (b) Verify that the function (t) = (n et/2 is a solution of the equation
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
hand written plz a and b part only
![3. Consider the periodic system y' = A(t)y,
3
cos?
2
3
-1-sin t cos t
2
3
1- cos t sin t
2
3
A(t) =
(-1-sin t cost -1+sin't)
(a) Find eigenvalues of A(t)
cos
(b) Verify that the function (t) = ( et/2 is a solution of the equation
(c) Compute the multipliers and characteristic exponents of the system
(d) Does the system have a periodic solution?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F517568cc-86e9-4810-acc0-d3d6b3328da1%2Fbbc43334-f3ea-4ddf-b6ba-980daa9a01c8%2F4h38jx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Consider the periodic system y' = A(t)y,
3
cos?
2
3
-1-sin t cos t
2
3
1- cos t sin t
2
3
A(t) =
(-1-sin t cost -1+sin't)
(a) Find eigenvalues of A(t)
cos
(b) Verify that the function (t) = ( et/2 is a solution of the equation
(c) Compute the multipliers and characteristic exponents of the system
(d) Does the system have a periodic solution?
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