Consider another example about a population of bacteria growing by self-division.The way we modeled it in class assumed that when an existing bacteria divided into severalothers the initial bacteria also remained alive, i.e. if each bacteria splits into two bacteria, r = 2,in each time interval. We begin with 1 bacteria, then we have 1+2=3, then 3+6=9 and so forth. Amore realistic approach will assume that when an existing bacteria splits into two new ones, theexisting bacteria dies. Write a differential equation for this alternative process.