0 1 0 0 0 1 -12 8 1 The general solution of x' = x is: 1 (a) x = Cje-3t -3 |+ Cze* 2 + C3e-2t -2 9. 1 (b) x = Cịe-3t 3 + C2e2“ | 2 + Czte" | 2 9 1 (c) x = Che-3t -3 + Czeª | 2 + C3 + tet | 2 %3D 1 4. 1 (d) x = Cịe-3t -3 + C2e-2t + C3 + te-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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Question
0 1 0
0 0 1
5. The general solution of x' =
x is:
–12 8 1
1
(a) x = Ce-3t
-3
+ Cze2 | 2
+ Cze-21
4
(b) x = Ce-3t
+ C2e* | 2
9.
-3
+ Czte" | 2
4
(c) x = Che-3t
-3
+ Czet
+ C3
2
+ te2t
2
9
(d) x = Ce-3t
+ C2e¬2t
9.
-3
-2
+ C3
+ te-2t
-4
(e) None of the above.
Transcribed Image Text:0 1 0 0 0 1 5. The general solution of x' = x is: –12 8 1 1 (a) x = Ce-3t -3 + Cze2 | 2 + Cze-21 4 (b) x = Ce-3t + C2e* | 2 9. -3 + Czte" | 2 4 (c) x = Che-3t -3 + Czet + C3 2 + te2t 2 9 (d) x = Ce-3t + C2e¬2t 9. -3 -2 + C3 + te-2t -4 (e) None of the above.
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