Suppose y2 y2 y(t) = cjet + czet 2 2 T(1) = |: y1 y1 -3 -2 -1 3 -3 -2 -1 1 2 3 -1 -1 -2 -2 (a) Find c and c2. -3 -3 A C2 = y2 y2 (b) Sketch the phase plane trajectory that satisfies the given initial condition. Which graph most closely resembles the graph you drew? 3 Choose v 2 2 (c) What is the approximate direction of travel for the solution curve, as t increases from -0o to +oo? y1 y1 -3 -2 -1 3 -3 -2 -1 1 2 3 A. along the line y = x toward the origin and then along the line y = -x away from the origin 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 -1 -2 -2 -3 -3 D

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
Suppose
y2
y2
3
3
y(t) = ce¬
+ cze
2
T(1) = :
y1
y1
-3
-2
3
-3
-2
-1
1
2
-1
-1
-2
-2
(a) Find
C1
and c2 ·
-3
-3
C1 =
A
В
C2
y2
y2
(b) Sketch the phase plane trajectory that satisfies the given initial condition. Which graph most closely resembles the graph you drew?
3.
Choose
2
2
(c) What is the approximate direction of travel for the solution curve, as t increases from -o to +x?
y1
y1
-3
-2
-1
1
-3
-2
-1
1
2
3
A. along the line y
= x toward the origin and then along the line y
= -x away from the origin
-1
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
-2
-2
-3
-3
C
1.
Transcribed Image Text:Suppose y2 y2 3 3 y(t) = ce¬ + cze 2 T(1) = : y1 y1 -3 -2 3 -3 -2 -1 1 2 -1 -1 -2 -2 (a) Find C1 and c2 · -3 -3 C1 = A В C2 y2 y2 (b) Sketch the phase plane trajectory that satisfies the given initial condition. Which graph most closely resembles the graph you drew? 3. Choose 2 2 (c) What is the approximate direction of travel for the solution curve, as t increases from -o to +x? y1 y1 -3 -2 -1 1 -3 -2 -1 1 2 3 A. along the line y = x toward the origin and then along the line y = -x away from the origin -1 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 -2 -2 -3 -3 C 1.
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