The population size x(t) in the logistic equation dx x(1 – 0.5x) dt is evaluated from the equation x(t) = се1 + 1 (a) Find all the value(s) of c when the initial population is x(0) = 0.5 (b) Evaluate the population after 2 years with the value of c found in Part (a).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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The population size x(t)
in the logistic equation
dx
x(1 – 0.5x)
dt
is evaluated from the equation
2
x(t)
ce-t +1
(a) Find all the value(s) of c when the initial
population is x(0) = 0.5
(b) Evaluate the population after 2 years with the
value of c found in Part (a).
%3D
Transcribed Image Text:The population size x(t) in the logistic equation dx x(1 – 0.5x) dt is evaluated from the equation 2 x(t) ce-t +1 (a) Find all the value(s) of c when the initial population is x(0) = 0.5 (b) Evaluate the population after 2 years with the value of c found in Part (a). %3D
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