Which of the following is a solution to x'=A(t) x + b (t) if a) v (t) = b) O v (t) = v (t) = d) ○ v (t) = e) Ov (t)= sin(t) + 4 cos(t) 3 cos(1) -sin(t)- 4 cos(t) -cos(t) sin (t) -cos(t) + 4 sin(t) -cos(t) -sin(t)- 4 cos(t) sin(t) cos(t) -cos(t) f) O None of the above. 0 A (8) -21]. D(E)-|4 CORE)] b(t) -4 cos(t)

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
a) O v (t)
b) O v (t)=
d)
v (t) =
v (t) =
e) Ov (t) =
sin(t) + 4 cos(t)
3 cos(t)
-sin(t)- 4 cos(t)
-cos(t)
sin (1)
-cos(t) + 4 sin(t)
-cos(t)
- sin(t) - 4 cos(t)
sin(t) cos(t)
-cos(t)
f) O None of the above.
A (t) =
4 -1
-4
21
0
4 cos(t)
Transcribed Image Text:Which of the following is a solution to x' = A(t) x + b (t) if a) O v (t) b) O v (t)= d) v (t) = v (t) = e) Ov (t) = sin(t) + 4 cos(t) 3 cos(t) -sin(t)- 4 cos(t) -cos(t) sin (1) -cos(t) + 4 sin(t) -cos(t) - sin(t) - 4 cos(t) sin(t) cos(t) -cos(t) f) O None of the above. A (t) = 4 -1 -4 21 0 4 cos(t)
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