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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 - (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)

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 - (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)

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
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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 - (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)
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 - (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)
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