Suppose that news spreads through a city of fixed size of 900000 people at a time rate proportional to the number of people who

have not heard the news.a. Formulate a differential equation and initial condition for y(t) , the number of people who have heard the news t days after it has happened.No one has heard the news at first, so y(0)=0.dy/dt = k ( what ) , where k is the proportionality constantb.) 8 days after a scandal in City Hall was reported, a poll showed that 100000 people have heard the news. Using this information and the differential equation, solve for the number of people who have heard the news after t days.y(t) = what