The population in a certain country grows at a rate proportional to the population at time $t $, with proportionality constant of $0.03$. Due to political turmoil, people are leaving the country at a constant rate of $6000$ per year. Assume there's no immigration to the country. Let $P=P (t) $ is population time at $t $, the being in years.
Write the differential equation reflecting the situation.
Solve it for $P (t) $ given that at $t=0$ the population is 3 million. Find $P (t)$.
I'm stuck on the DE. I know it should have a $-6000$ but the $1.03$ is throwing me off.