=
=
Try to find
= + .
Find z1 and z2.
Integration give left side will be two functions ln, right t+C.
This is actually a problem for my calculus class but it's mostly diff. eq.
Given I'(t)=aI(N-I) with the initial condition I(0)=1
solve this equation and show that the solution can be written as:
I(t)=N/(1+Be^(-aNt))
any help would be greatly appreciated.