So I have an equation to describe population growth
where a and b are constants. Typically b is small so that initially, since the population p(t) is small, the squared term can be neglected and the population growth is exponential.
how do I solve the differential equation for p(t) with p(t = 0) = 1 where a = 2 and b = 0.05 and how do I find the value of p(t) as t → ∞