A simple epidemic model is given by d1 =IlII. {it 5\" )p Here, I is the proportion of actively infected people in the population, the rst term in the righthandside of the DE is the rate uninfected people get infected with infection rate 5 = 0.1 / day, and the second term is the rate people recover from infection at rate ,0 = HUS/day. (3.) Determine the general solution to this differential equation. (b) If the population starts at time t = U with [(0) = 0.1 of the population infected, then what is the long-term proportion of activer infected people as time t goes to innity