Answer:
This means that the correct initial value problem for the population p(t) as a function of time is is
Step-by-step explanation:
The population of a town increases at a rate proportional to its population:
This means that this situation is modeled by the following differential equation:
In which k is the growth rate.
By separation of variables, the solution is given by:
In which P(0) is the initial population.
Initial population of 1000.
This means that the correct initial value problem for the population p(t) as a function of time is is