10. A fundamental set of solutions of x' = 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
-2
1 -1
3 -3
10. A fundamental set of solutions of x' =
4
x is:
3
2
(a) x1 = et
X2 = e-2t
1
(b) x1 = e
X2 = e-2t
X3 = te-2t
1.
1
()
(c) x1 = e 1
: X2 = e-2t
1
• X3 = e-2t
1
+ te-2
1.
(d) x1 = et
X2 = e-2t
X3 = e-2t
+ te-2t
1.
(e) None of the above.
Transcribed Image Text:-2 1 -1 3 -3 10. A fundamental set of solutions of x' = 4 x is: 3 2 (a) x1 = et X2 = e-2t 1 (b) x1 = e X2 = e-2t X3 = te-2t 1. 1 () (c) x1 = e 1 : X2 = e-2t 1 • X3 = e-2t 1 + te-2 1. (d) x1 = et X2 = e-2t X3 = e-2t + te-2t 1. (e) None of the above.
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