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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 any computer program to approximate the solution for 10 years. Use the step size of h = 1 and then with h = 0.5 b. Find out the percentage of the limiting population of 75 frogs has been attained after 5 years and after 10 years c. Summarize your findings in (b)

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 any computer program to approximate the solution for 10 years. Use the step size of h = 1 and then with h = 0.5 b. Find out the percentage of the limiting population of 75 frogs has been attained after 5 years and after 10 years c. Summarize your findings in (b)

Advanced Engineering Mathematics
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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how to summarize finding for b

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 any computer program to approximate the solution for 10 years. Use the step size of h = 1 and then with h = 0.5 b. Find out the percentage of the limiting population of 75 frogs has been attained after 5 years and after 10 years c. Summarize your findings in (b)
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 any computer program to approximate the solution for 10 years. Use the step size of h = 1 and then with h = 0.5 b. Find out the percentage of the limiting population of 75 frogs has been attained after 5 years and after 10 years c. Summarize your findings in (b)
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