2. For the following systems with complex eigenvalues, find the general solutions: -5 (a) x² = ( 15³ ) x x' 3 (b) x' (c) x' = = -3x - 2y, y' = = 9x + 3y 3x – 4y, y' = 4x + 3y
2. For the following systems with complex eigenvalues, find the general solutions: -5 (a) x² = ( 15³ ) x x' 3 (b) x' (c) x' = = -3x - 2y, y' = = 9x + 3y 3x – 4y, y' = 4x + 3y
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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Transcribed Image Text:2. For the following systems with complex eigenvalues, find the general solutions:
-5
² = (1 +²3² ) ×
X
(a) x'
(b) x'
(c) x' = 3x - 4y, y' = 4x + 3y
=
- 3x –
2y, y'
=
9x + 3y
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