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)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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PLEASE ANSWER IN EXCEL

DIFFERENTIAL EQUATIONS 1 QUESTION:

 

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,
(with t in months.)
a. Apply Modified Euler's method together with
EXCEL
to approximate the
solution for 10 years. Use the step size of h = 1 and then with h = 0.5 - (LT - C3)
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: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, (with t in months.) a. Apply Modified Euler's method together with EXCEL to approximate the solution for 10 years. Use the step size of h = 1 and then with h = 0.5 - (LT - C3) 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)
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