Suppose that a certain population obeys the logistic equation dy dt with y(0) = yo. (Here y(t) is the population at time t.) Solve this equation (or find the solution in the textbook) in order to answer the following. If = Yo = K/7, find the time at which the initial population has doubled. Your answer should depend only on r. T= If yo/K T = 0.3 and r = = ry[1 − (y/K)] = 0.065, find the time T at which y(T)/K = 0.8.
Suppose that a certain population obeys the logistic equation dy dt with y(0) = yo. (Here y(t) is the population at time t.) Solve this equation (or find the solution in the textbook) in order to answer the following. If = Yo = K/7, find the time at which the initial population has doubled. Your answer should depend only on r. T= If yo/K T = 0.3 and r = = ry[1 − (y/K)] = 0.065, find the time T at which y(T)/K = 0.8.
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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![with y(0)
yo. (Here y(t) is the population at time t.)
Solve this equation (or find the solution in the textbook) in order to answer the following.
If yo
on r.
T=
Suppose that a certain population obeys the logistic equation
dy
dt
T =
= ry[1 - (y/K)]
=
-
= K/7, find the time at which the initial population has doubled. Your answer should depend only
If yo/K = 0.3 and r = 0.065, find the time T at which y(T)/K = 0.8.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F216015d9-daff-4e98-b3d1-7f3f5202e820%2Fc88405bc-85a2-4bd1-b025-c65e8bcc4c17%2Fqjmxjol_processed.jpeg&w=3840&q=75)
Transcribed Image Text:with y(0)
yo. (Here y(t) is the population at time t.)
Solve this equation (or find the solution in the textbook) in order to answer the following.
If yo
on r.
T=
Suppose that a certain population obeys the logistic equation
dy
dt
T =
= ry[1 - (y/K)]
=
-
= K/7, find the time at which the initial population has doubled. Your answer should depend only
If yo/K = 0.3 and r = 0.065, find the time T at which y(T)/K = 0.8.
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