X= C₁ e³t 1cos (24) 3t - 2sin (21) 3 cos (2+) + 3t C₂e² 2 Cost 1 3sin (2 t) sin (2+)
X= C₁ e³t 1cos (24) 3t - 2sin (21) 3 cos (2+) + 3t C₂e² 2 Cost 1 3sin (2 t) sin (2+)
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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Consider a system with complex eigenvalues. The system's general solution is given below. Show if there are any straight line solutions and draw them. Also draw nullclines and determine the system's behavior...
Transcribed Image Text:X = C₁ e³t / 1 cos (2+) - 2 sin (24)
3t
3 cos (2+)
+
3t
C₂ e
2 Cos (2 t)
+
1
i sin (21)
3sin (2 t)
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