Which of the following is a solution to

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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Which of the following is a solution to x' = A(t) x + b (t) if
-3 -1
A (t) =
b(t) =
7 3
-3 cos(t)
sin (t)
v (t) =
- cos(t) – 3 sin (t)
sin(t) – 3 cos(1)
b) O v (t) =
-cos(t)
- sin (t) + 3 cos(1)
c) O v (t) =
-cos(t)
- cos(1)
(t)
- sin (t) + 3 cos(t)
sin (t) – 3 cos(t)
v (t) =
e)
-4 cos(t)
f) O None of the above.
Transcribed Image Text:Which of the following is a solution to x' = A(t) x + b (t) if -3 -1 A (t) = b(t) = 7 3 -3 cos(t) sin (t) v (t) = - cos(t) – 3 sin (t) sin(t) – 3 cos(1) b) O v (t) = -cos(t) - sin (t) + 3 cos(1) c) O v (t) = -cos(t) - cos(1) (t) - sin (t) + 3 cos(t) sin (t) – 3 cos(t) v (t) = e) -4 cos(t) f) O None of the above.
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