An observation indicates that the frog population Q(t) in a small pond is 25 initially and satisfies the logistic equation Q(t)' = 0.0225Q(t) – 0.0003Q(t)², %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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b. Find out the percentage of the limiting population of 75 frogs has been attained after 5
years and after 10 years (LT – C2)
c. Summarize your findings in (b) – (LT – C4)
Transcribed Image Text:b. Find out the percentage of the limiting population of 75 frogs has been attained after 5 years and after 10 years (LT – C2) c. Summarize your findings in (b) – (LT – C4)
An observation indicates that the frog population Q(t) in a small pond is 25 initially and
satisfies the logistic equation
Q(t)' = 0.0225Q(t) – 0.0003Q(t)²,
%3D
(with t in months.)
Transcribed Image Text:An observation indicates that the frog population Q(t) in a small pond is 25 initially and satisfies the logistic equation Q(t)' = 0.0225Q(t) – 0.0003Q(t)², %3D (with t in months.)
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