The rate of change of the number of mountain lions n(t) in a population is directly proportional to 725 - n(t), where t is the time in years. when t = 0, the population is 400. when t = 3, the population is 650. find the population when t = 5. round your answer to the nearest 50 mountain lions. a. write the implied differential equation. b. solve the equation to find the general solution. c. use the given information to find a particular solution. d. use the particular solution to answer the question.