I have been given the population of the USA from 1790 - 1980 (increasing in intervals of $10$) and I am asked to solve this differential equation.
Using $t$ as time in years, and $P$ as size of population at any time $t$.
It shows $dP/dt = (b-d)P$.
I assume $b$ and $d$ are birth and death rates per $1000$.
I have subbed in $B-d = 13-8$.
I'm kinda puzzled I don't know what to do. I have made a table and graph on Excel with the data but I'm clueless. Any ideas guys and gals?