Exercise 2 Suppose that 100 people attend a party and that 30 minutes into the party a single person starts to spread a rumor that nobody else at the party knows. Assume that the number of people N = N (t) that have heard the rumor I minutes after it begins to spread is increasing according to the equation L1( N )_L+ 100n IOON '50 0' Find N (t) Your answer should not depend on c. Hint: what is N (0)