Finding a population Function

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?

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?