4. A fundamental set of solutions of x' = 1 5 -2 3 x is: -2t -2t Cos 3t 2 sin 3t Cos 3t + sin 3t (b) { (:)- e2t + sin 3t e2t cos 3t - sin 3t 2 Cos 3t (c) e2t e2t cos 3t 3 + sin 3t Cos 32 sin 3t + sin 2t 3 + sin 2t Cos 2t Cos 2t (e) None of the above.

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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1 5
4. A fundamental set of solutions of x'
|х is:
-2 3
-3
+ sin 3t
-2t
Cos 3t
sin 3t
Cos 3t
(:).
(:)
(b)
e2t
+ sin 3t
e2t cos 3t
2
sin 3t
Cos 3t
3
+ sin 3t
:)}
-1
(c)
2t
Cos 3t
sin 3t
e2t cos 3t
(d)
est cos 2t
+ sin 2t
e3t
Cos 2t
+ sin 2t
{[(;-),
(e) None of the above.
Transcribed Image Text:1 5 4. A fundamental set of solutions of x' |х is: -2 3 -3 + sin 3t -2t Cos 3t sin 3t Cos 3t (:). (:) (b) e2t + sin 3t e2t cos 3t 2 sin 3t Cos 3t 3 + sin 3t :)} -1 (c) 2t Cos 3t sin 3t e2t cos 3t (d) est cos 2t + sin 2t e3t Cos 2t + sin 2t {[(;-), (e) None of the above.
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