Maximum population occurs when dP dt 0 so 3 e 01 t m 1 0 or t m 100 ln3 109 86

# Maximum population occurs when dp dt 0 so 3 e 01 t m

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Maximum population occurs when dP dt = 0, so 0 . 3 e - 0 . 01 t m - 0 . 1 = 0 or t m = 100 ln(3) = 109 . 86 The maximum population is P ( t m ) = 14 - 10 e - 0 . 01 t m - t m 30 3 = 343 . 7 Joseph M. Mahaffy, h [email protected] i Lecture Notes – Separable Differential Equation — (40/41)

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Introduction Separation of Variables Modified Malthusian Growth Model Population of U. S. Population of Italy 2 Population Models Population of Study 7 Graphs of the Population Models 0 20 40 60 80 100 120 140 160 180 200 0 50 100 150 200 250 300 350 t (days) Population Population Models Model 1 Model 2 Joseph M. Mahaffy, h [email protected] i Lecture Notes – Separable Differential Equation — (41/41)
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