The population of a species satisfies the logistic differential equation , where the initial population is and is the time in years. What is the limit of at tends to infinity?
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The population of fish, , in a lake with initial population of 10,000 satisfies the differential equation . What is the population at time ?
The population of fish, , in a lake with initial population of 10,000 satisfies the differential equation . What is the population of fish at time ?
Using a Logistic Equation In Exercises 53 and 54, the logistic equation models the growth of a population. Use the equation to (a) find the value of k, (b) find the carrying capacity, (c) find the initial population, (d) determine when the population will reach 50% of its carrying capacity, and (e) write a logistic differential equation that has the solution P(t).
