Suppose [1]. 7(t) = cet + cze' -1 -3 -2 -1 -1 -2 j(0) = A B (a) Find C1 and C2. C1 = - -3-2 - C2 = -1 (b) Sketch the phase plane trajectory that satisfies the given initial condition. Which graph most closely resembles the graph you drew? Choose D (C) Is the solution curve headed toward or away from the origin as t increases? A. away B. toward C. neither toward nor away

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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Suppose
[1].
7(t) = cet
+ cze'
-3 -
-1
-2
j(0) =
A
B
(a) Find C1 and C2.
C1 =
-3-2 -
C2 =
-1
-1
(b) Sketch the phase plane trajectory that satisfies the given initial condition. Which graph
most closely resembles the graph you drew? Choose
D
(C) Is the solution curve headed toward or away from the origin as t increases?
A. away
B. toward
C. neither toward nor away
Transcribed Image Text:Suppose [1]. 7(t) = cet + cze' -3 - -1 -2 j(0) = A B (a) Find C1 and C2. C1 = -3-2 - C2 = -1 -1 (b) Sketch the phase plane trajectory that satisfies the given initial condition. Which graph most closely resembles the graph you drew? Choose D (C) Is the solution curve headed toward or away from the origin as t increases? A. away B. toward C. neither toward nor away
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