Concept explainers
Program Description: Purpose of problem is to calculate the number of months takes for
Explanation of Solution
Given information:
The logistic equation is
Here,
Initial population is 120 with rate of 8 births per month and 6 deaths per month.
Take initial time as 0.
Explanation:
The solution of the logistic differential equation is shown below.
Here,
Obtain the maximum capacity of the system
Obtain the value of
Now, substitute the known values
To obtain the time at which population reaches to 95% of maximum population, substitute
Further, solve the equation as follows:
Conclusion:
Therefore, the number of months takes for
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Chapter 2 Solutions
Differential Equations: Computing and Modeling (5th Edition), Edwards, Penney & Calvis
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