Consider the initial value problem y': = ty (7 - y) y(0) = yo. " 4 a) Determine how the behavior of the solution as t increases depends on the initial value yo. If yo> 0, then Choose one If yo<0, then Choose one If yo= 0, then Choose one b) Suppose that yo = 0.5. Find the time T at which the solution first reaches the value 6.98. NOTE: Round your answer to five decimal places. T =

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter6: Equations
Section: Chapter Questions
Problem 5GP
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Pls answer all the other picture is the choices

Consider the initial value problem y':
=
ty (7 - y)
y(0) = yo.
"
4
a) Determine how the behavior of the solution as t increases depends
on the initial value yo.
If yo> 0, then Choose one
If yo<0, then Choose one
If yo= 0, then Choose one
b) Suppose that yo = 0.5. Find the time T at which the solution first
reaches the value 6.98.
NOTE: Round your answer to five decimal places.
T =
Transcribed Image Text:Consider the initial value problem y': = ty (7 - y) y(0) = yo. " 4 a) Determine how the behavior of the solution as t increases depends on the initial value yo. If yo> 0, then Choose one If yo<0, then Choose one If yo= 0, then Choose one b) Suppose that yo = 0.5. Find the time T at which the solution first reaches the value 6.98. NOTE: Round your answer to five decimal places. T =
If yo> 0, then choose one
Choose one
If yo<0, then
y becomes positively unbounded.
lim y = 7.
If yo = 0, then
y = 0 for all t.
b) Suppose that y y becomes negatively unbounded. e solut
reaches the valu..
Transcribed Image Text:If yo> 0, then choose one Choose one If yo<0, then y becomes positively unbounded. lim y = 7. If yo = 0, then y = 0 for all t. b) Suppose that y y becomes negatively unbounded. e solut reaches the valu..
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