As in of Section 2.4, suppose the deer population P .t /

Chapter , Problem 26

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As in of Section 2.4, suppose the deer population P .t / in a small forest initially numbers 25 and satisfies the logistic equation dP dt D 0:0225P 0:0003P2 (with t in months). Use the improved Euler method with a programmable calculator or computer to approximate the solution for 10 years, first with step size h D 1 and then with h D 0:5, rounding off approximate P-values to three decimal places. What percentage of the limiting population of 75 deer has been attained after 5 years? After 10 years?

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