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2 2 -6 8. The general solution of x' = x is: (Hint: 6 is an eigenvalue.) 2 -1 -3 -2 - 1 -2 3 1 (a) x = Cieốt + Cze-2t + C3 3 (b) x = Ce6t 1 + Cze-2t 2 (c) x = Ce6t + Cze-2t + Cze-2t 2 2 2 3 (d) x = Cie6t + C3 te-2t 2 1 + Cze-2t -2 (e) None of the above.

2 2 -6 8. The general solution of x' = x is: (Hint: 6 is an eigenvalue.) 2 -1 -3 -2 - 1 -2 3 1 (a) x = Cieốt + Cze-2t + C3 3 (b) x = Ce6t 1 + Cze-2t 2 (c) x = Ce6t + Cze-2t + Cze-2t 2 2 2 3 (d) x = Cie6t + C3 te-2t 2 1 + Cze-2t -2 (e) None of the above.

Advanced Engineering Mathematics
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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2 2 -6 8. The general solution of x' = x is: (Hint: 6 is an eigenvalue.) 2 -1 -3 -2 - 1 -2 3 1 (a) x = Cieốt + Cze-2t + C3 3 (b) x = Ce6t 1 + Cze-2t 2 (c) x = Ce6t + Cze-2t + Cze-2t 2 2 2 3 (d) x = Cie6t + C3 te-2t 2 1 + Cze-2t -2 (e) None of the above.
Transcribed Image Text:2 2 -6 8. The general solution of x' = x is: (Hint: 6 is an eigenvalue.) 2 -1 -3 -2 - 1 -2 3 1 (a) x = Cieốt + Cze-2t + C3 3 (b) x = Ce6t 1 + Cze-2t 2 (c) x = Ce6t + Cze-2t + Cze-2t 2 2 2 3 (d) x = Cie6t + C3 te-2t 2 1 + Cze-2t -2 (e) None of the above.
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