KK Suppose 42 7(t) = cet + ze? -3 -2 -1 -3 -2 -1 -1 ý(1) = -3 A В (a) Find c, and c2 . y2 1/2e 1 yi -e/2 -3 -2 -1 -3 -2 C2 -1 -1 -2 -2 -3 -3 (b) Sketch the phase plane trajectory that satisfies the given initial condition. Which graph most closely resembles the graph you drew? D (c) What is the approximate direction of travel for the solution curve, as t increases from -o to +o? OA. along the line y = -x toward the origin and then along the line y = x away from the origin

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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Question
100%
Suppose
y2
2
1
+ cze?
1
ý(t) =
y1
y1
-3
-3 -2
-1
5(1) =
-2
-2
A
B
(a) Find c, and c2.
y2
y2
2
C1 =
1/2e
1
y1
-e/2
-3
C2 =
-1
-3
1
-1
-2
(b) Sketch the phase plane trajectory that satisfies the given initial condition.
Which graph most closely resembles the graph you drew?
D
D
(c) What is the approximate direction of travel for the solution curve, as t
increases from -o to -+o?
O A. along the line y = -x toward the origin and then along the line y = x
away from the origin
O B. along the line y = x toward the origin and then along the line y = -x
away from the origin
C. none of the above
Transcribed Image Text:Suppose y2 2 1 + cze? 1 ý(t) = y1 y1 -3 -3 -2 -1 5(1) = -2 -2 A B (a) Find c, and c2. y2 y2 2 C1 = 1/2e 1 y1 -e/2 -3 C2 = -1 -3 1 -1 -2 (b) Sketch the phase plane trajectory that satisfies the given initial condition. Which graph most closely resembles the graph you drew? D D (c) What is the approximate direction of travel for the solution curve, as t increases from -o to -+o? O A. along the line y = -x toward the origin and then along the line y = x away from the origin O B. along the line y = x toward the origin and then along the line y = -x away from the origin C. none of the above
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