• Find the general solution X(t) (in the form of linear combination of real-valued solutions); Sketch the phase portrait; . Find the solution satisfying X (0) 1. = -4 (a) X(1) = [3³] x X(t) d dt B (b) / × = [2/2 ₁] x X -X dt

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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• Find the general solution X(t) (in the form of linear combination of
real-valued solutions);
Sketch the phase portrait;
• Find the solution satisfying X (0) = []
1.
d
-4
(a) = X(t) = [3
dt
3
-4
X(t)
(b) d
2 x= [21] x
X
X
dt
Transcribed Image Text:• Find the general solution X(t) (in the form of linear combination of real-valued solutions); Sketch the phase portrait; • Find the solution satisfying X (0) = [] 1. d -4 (a) = X(t) = [3 dt 3 -4 X(t) (b) d 2 x= [21] x X X dt
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