Suppose y2 y2 y(t) = cie + Czet 1 1 -3 -2 -1 2 3 -3 -2 -1 -1 -1 (1) = -2 -2 -9 -3 A (a) Find c and c2. y2 y2 Cj = -e C2 e^(-1) %3D -3 -2 -1 3 -3 -2 -1 2 -1 -1 (b) Sketch the phase plane trajectory that satisfies the given initial condition. Which graph most -2 closely resembles the graph you drew? D -3 -3 (c) What is the approximate direction of travel for the solution curve, as t increases from -oo to +00 O A. along the line y = x toward the origin and then along the line y = -x away from the origin OB. along the line y = -x toward the origin and then along the line y = x away from the origin OC. none of the above
Suppose y2 y2 y(t) = cie + Czet 1 1 -3 -2 -1 2 3 -3 -2 -1 -1 -1 (1) = -2 -2 -9 -3 A (a) Find c and c2. y2 y2 Cj = -e C2 e^(-1) %3D -3 -2 -1 3 -3 -2 -1 2 -1 -1 (b) Sketch the phase plane trajectory that satisfies the given initial condition. Which graph most -2 closely resembles the graph you drew? D -3 -3 (c) What is the approximate direction of travel for the solution curve, as t increases from -oo to +00 O A. along the line y = x toward the origin and then along the line y = -x away from the origin OB. along the line y = -x toward the origin and then along the line y = x away from the origin OC. none of the above
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Suppose
y2
y2
y(t) = cjet
+ Czet
1
y1
y1
-3
-2
-1
-3
-2
-1
1
2
-1
-1
ÿ(1) :
-2
-2
-3
-3
A
В
(a) Find c1 and c2.
y2
y2
C =
-e
C2 = e^(-1)
y1
y1
-3
-2
-1
1
3
-3
-2
-1
(b) Sketch the phase plane trajectory that satisfies the given initial condition. Which graph most
-2
closely resembles the graph you drew? D
-3
(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
= x away from the origin
B. along the line y
-x toward the origin and then along the line y
C. none of the above](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6d1ae07f-bdb5-47a8-9afa-ea5a04bdf9c8%2F8f6753c3-fcb7-47bf-ae03-b9f914b9b2e2%2Fcp9ggn7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose
y2
y2
y(t) = cjet
+ Czet
1
y1
y1
-3
-2
-1
-3
-2
-1
1
2
-1
-1
ÿ(1) :
-2
-2
-3
-3
A
В
(a) Find c1 and c2.
y2
y2
C =
-e
C2 = e^(-1)
y1
y1
-3
-2
-1
1
3
-3
-2
-1
(b) Sketch the phase plane trajectory that satisfies the given initial condition. Which graph most
-2
closely resembles the graph you drew? D
-3
(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
= x away from the origin
B. along the line y
-x toward the origin and then along the line y
C. none of the above
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