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Multivariable Calculus
Problem 5 . Solve the following initial value problem for the logistic
Undergraduate
Problem 5 . Solve the following initial value problem for the logistic equation: dP dt rP p 1 P K q ( 2 ) P
Problem
5
.
Solve the following initial value problem for the logistic equation:
dP
dt rP p
1
P
K q
(
2
)
P p
0
q K
{
2
.
This represents the growth of a population whose initial value is half the carrying capacity of
the environment.
A population of rabbits is though to evolve according to
(
2
)
.
The carrying capacity is known
to be
5
0
0
rabbits, and the growth rate
0
.
0
4
rabbits
/
month
.
If the initial population is
2
5
0
rabbits, what does the model predict the population to be after
1
year?
Step by Step Solution
1
Understanding Responsive Design Principles
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