Asmall military base housing 1,000 troops, each of whom is susceptible to a certain virus infection. assuming that during the course of the epidemic the rate of change (with respect to time) of the number of infected troopers is jointly proportional to then number of troopers infected and the number of uninfected troopers. if at the initial outbreak, there was one trooper infected and 2 days later there were 5 troopers infected, express the number of infected troopers as a function of time.