Question

Consider the following problem situation:

At time t = 0, a country's population is 300 million, and its death rate exceeds its birth rate by k. There is also a constant immigration of I million people each year.

Mathematically, this situation is similar to a(n):

compound interest problem.

logistic growth problem.

exponential decay problem.

Newton's Law of Cooling.

mixing problem.


Im thinking Logistic Problem

Answer 1

If the birth rate is b, then the death rate is b+k, so there is a net decline of k%
so, the differential equation is
dp/dt = kp + 1000000

I don't think that's the logistic equation