what is your solution in terms of t and k for the initial value problem?
I know how to solve this problem, my issue is getting the k.
M=1000 (total population)
at time t=0 there are 80 cases and 4 hours later half the total population (500) are infected.
I need to find the time when 90% of the population is infected.
I need to find my k to solve it though. initially I though but that's incorrect