An observation indicates that the initial population of grey seals P(t) nearby a harbor is 25 and satisfies the logistic equation P(t)' = 0.0225P (t) - 0.0003P (t)² (with t in months.) a) Apply Euler's method together with any computer program (compulsory) to approximate the solution for 10 years. Use the step size of h = 1 and then with h = 0.5

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 initial population of grey seals P(t) nearby a harbor is 25 and satisfies
the logistic equation
P(t)' = 0.0225P (t) - 0.0003P(t)²
(with t in months.)
a) Apply Euler's method together with any computer program (compulsory) to approximate the
solution for 10 years. Use the step size of h = 1 and then with h = 0.5
Transcribed Image Text:An observation indicates that the initial population of grey seals P(t) nearby a harbor is 25 and satisfies the logistic equation P(t)' = 0.0225P (t) - 0.0003P(t)² (with t in months.) a) Apply Euler's method together with any computer program (compulsory) to approximate the solution for 10 years. Use the step size of h = 1 and then with h = 0.5
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