2. Consider the system dx = -2x + y dt dy = -2y dt and its corresponding direction field. (a) Sketch a number of different solution curves on the phase plane. You may do this part directly on this sheet! (b) Describe the behavior of the solution that satisfies the IC (xo, yo) = (0, 2).
2. Consider the system dx = -2x + y dt dy = -2y dt and its corresponding direction field. (a) Sketch a number of different solution curves on the phase plane. You may do this part directly on this sheet! (b) Describe the behavior of the solution that satisfies the IC (xo, yo) = (0, 2).
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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
Transcribed Image Text:2. Consider the system
dx
= -2x + y
dt
dy
= -2y
dt
and its corresponding direction field.
-2
(a) Sketch a number of different solution curves on the phase plane. You may do this
part directly on this sheet!
(b) Describe the behavior of the solution that satisfies the IC (ro, Yo) = (0, 2).
1ttt +2
1
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