1 1 2 0 2 2 x; x(0) = | 0 -1 1 3 6. The solution of the initial-value problem x' = is: (a) x = e* 2 +e 2 1 -1 (b) x = 2e2 1 -1 2 (c) x = 2e3t 2 - 3e2t +et 2 1 (d) x= 3e" | 1 3t 2 (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
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1 1 2
0 2 2
-1 1 3
2
6. The solution of the initial-value problem x' =
x; x(0)
is:
(a) x = e3t 2
+et
2
1
-
1
(b) x = 2e2t
1
et
2
1
2
(c) x = 2e3t
2
3e2t
+ et
(d) x = 3e" | 1
e3t
(e) None of the above.
Transcribed Image Text:1 1 2 0 2 2 -1 1 3 2 6. The solution of the initial-value problem x' = x; x(0) is: (a) x = e3t 2 +et 2 1 - 1 (b) x = 2e2t 1 et 2 1 2 (c) x = 2e3t 2 3e2t + et (d) x = 3e" | 1 e3t (e) None of the above.
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