How to integrate this differential equation? Applied Maths
dN/dt = aN + bN2
(Where N is variable, a and b are constants)
N(0) = N0
This is what Im supposed to get:
N(t) = (aN0) / ((a-bN0)e-at+bN0)
I tried completing the square and a lot of other ways and I just can't do it. Any help would be much appreciated!
Edit: Comes from Logistic Model of Population Growth Equation