O O 0 0 t t The behavior of y(t) is independent of initial value y(to): y(t) → t - 5 for all y(to). The behavior of y(t) is independent of initial value y(to): y(t) → 0 for all y(to).
O O 0 0 t t The behavior of y(t) is independent of initial value y(to): y(t) → t - 5 for all y(to). The behavior of y(t) is independent of initial value y(to): y(t) → 0 for all y(to).
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 4CR
Related questions
Question
![Draw a direction field for the given differential equation. Based on the direction field, determine the behavior of y ast → ∞. If this
behavior depends on the initial value of y at t = 0, describe this dependency.
y = - 4+1-y
Note that the right sides of these equations depend on t as well as y.
0
0
t
The behavior of y(t) is independent of initial value y(to):
y(t) → 0 for all y(to).
Depending on the initial value y(to) either y(t) diverges from
8
n(t + 7) -
√2
y =
or
y(t) =
-
sint
8
1
sin(t +
(+)-1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F826095e1-9253-487f-8065-ca9d10f85a48%2F50d82bf3-410e-42ba-a50d-63af8e9898fd%2Frg1glde_processed.png&w=3840&q=75)
Transcribed Image Text:Draw a direction field for the given differential equation. Based on the direction field, determine the behavior of y ast → ∞. If this
behavior depends on the initial value of y at t = 0, describe this dependency.
y = - 4+1-y
Note that the right sides of these equations depend on t as well as y.
0
0
t
The behavior of y(t) is independent of initial value y(to):
y(t) → 0 for all y(to).
Depending on the initial value y(to) either y(t) diverges from
8
n(t + 7) -
√2
y =
or
y(t) =
-
sint
8
1
sin(t +
(+)-1.
![O
0
t
t
The behavior of y(t) is independent of initial value y(to):
y(t) → t - 5 for all y(to).
The behavior of y(t) is independent of initial value y(to):
y(t)
O for all y(to).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F826095e1-9253-487f-8065-ca9d10f85a48%2F50d82bf3-410e-42ba-a50d-63af8e9898fd%2Fe3ck9i9_processed.png&w=3840&q=75)
Transcribed Image Text:O
0
t
t
The behavior of y(t) is independent of initial value y(to):
y(t) → t - 5 for all y(to).
The behavior of y(t) is independent of initial value y(to):
y(t)
O for all y(to).
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