3 4 -4 8 7 -8 x is 8 8 -9 1. The general solution of x' = 2 (a) x = Ce* 2 + C2e| 0 + C3e Cze+ 2 3 (b) x = C1 e -2 + C2e 1 + C3 e -3 1 (c) x = C,e-3t 2 + Cze' 0+C3e² 1 (d) x = C1 et -2 |+ C2e+ +C3et (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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Question
3 4 -4
8 7 -8 |x is
8 8 -9
1. The general solution of x' =
1
2
(a) x = Ci et 2 |+ C2e-t| 0 + C3 et
+ C3e-t
2
1
()
3
(b) x = C1et
-2
+ C2e
+ C3 et
1
(c) x = C, e-3t
+ C2 et
+ C3 et
-2
1
(d) x = C1et
-2
+ C2e
+ C3e-t
1
-2
(e) None of the above.
Transcribed Image Text:3 4 -4 8 7 -8 |x is 8 8 -9 1. The general solution of x' = 1 2 (a) x = Ci et 2 |+ C2e-t| 0 + C3 et + C3e-t 2 1 () 3 (b) x = C1et -2 + C2e + C3 et 1 (c) x = C, e-3t + C2 et + C3 et -2 1 (d) x = C1et -2 + C2e + C3e-t 1 -2 (e) None of the above.
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