10, 000, draw a direction field and use For the case where k = 1, M = 100, 000 and m = it to sketch several solutions for various initial populations. What are the equilibrium solutions? One can show that k(М-т), M(Po – m)e (Ро — т)е t. т(Ро — М) M P(t) = k(М-т) t M – (Po – M) is a solution with initial population P(0) = Po. Use this to show that, if P(0) < m, then there is a time t at which P(t) = 0 (and so the population will be extinct).
10, 000, draw a direction field and use For the case where k = 1, M = 100, 000 and m = it to sketch several solutions for various initial populations. What are the equilibrium solutions? One can show that k(М-т), M(Po – m)e (Ро — т)е t. т(Ро — М) M P(t) = k(М-т) t M – (Po – M) is a solution with initial population P(0) = Po. Use this to show that, if P(0) < m, then there is a time t at which P(t) = 0 (and so the population will be extinct).
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 44EQ
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