Solve this differential equation: dy 0.07y(1- dt 600 y(0) = 5

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Solve this differential equation:
dy
0.07y
dt
600
y(0) = 5
y(t) =
Transcribed Image Text:Solve this differential equation: dy 0.07y dt 600 y(0) = 5 y(t) =
A population P obeys the logistic model. It satisfies the equation
dP
6
P(11 – P) for P > 0.
dt
1100
(a) The population is increasing when
< P<
(b) The population is decreasing when P >
Transcribed Image Text:A population P obeys the logistic model. It satisfies the equation dP 6 P(11 – P) for P > 0. dt 1100 (a) The population is increasing when < P< (b) The population is decreasing when P >
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