A phase line for an autonomous differential equation dy = f(y) f(y) 4 f(y) 4 dt is shown below. Make a rough sketch of the corresponding function f(y). 1 -4 - -2 -1 -1 -4 F3 -2 -1 -1 4 3 4 Which graph A-D most closely matches the graph you drew? ? v -2 -2 -3 -4 A |f{y) f(y) 4 3. 2 1 -4 -3 -2-1 -1 1 2/3 4 -4 -3 f2 -1 -1 1 2 4 -> -2 -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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PS: Choose one of the following graphs correctly.

f(y)
4
A phase line for an autonomous differential equation
dy
= f(y)
f(y)
4
dt
is shown below. Make a rough sketch of the corresponding function f(y).
-4 -3 -2 -1
-1
-4 F3 -2 -1
-1
4
1 2 3
4
Which graph A-D most closely matches the graph you drew? ? v
-2
-2
-3
4
-4
3
A
B
2
f(y)
4
f(y)
3
3
-1
-4 -3 -2-1
-1
-4 -3 f2 -1
-1
-2
2 /3
1
2
4
-2
-3
-3
-4
-4
Transcribed Image Text:f(y) 4 A phase line for an autonomous differential equation dy = f(y) f(y) 4 dt is shown below. Make a rough sketch of the corresponding function f(y). -4 -3 -2 -1 -1 -4 F3 -2 -1 -1 4 1 2 3 4 Which graph A-D most closely matches the graph you drew? ? v -2 -2 -3 4 -4 3 A B 2 f(y) 4 f(y) 3 3 -1 -4 -3 -2-1 -1 -4 -3 f2 -1 -1 -2 2 /3 1 2 4 -2 -3 -3 -4 -4
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