Question: Let L, a constant, be the number of people who would like to see a newly released movie, and let N(t) be the number of people who have seen it during the first t days since its release. The rate that people first go see the movie, dN/ dt (in people/day), is proportional to the number of people who would like to see it but haven't yet. Write and solve a differential equation describing dN/ dt where t is the number of days since the movie's release. Your solution will involve L and a constant of proportionality, k.