- 100% + Answer each of the problems. Make sure to show all your work. The number of students at a school increases at a rate proportional to its current size. In 2005, the school had 1700 students. In 2009, the school had 1850 students. Answer the following 1) Write a differential equation that models this situation. Let P represent the student population and let t represent the number of years since 2005. 2) Solve for the general solution. 3) Solve for the particular solution in terms of P and t (find the values of all constants). 4) Determine what year the school's population will reach 2100. 5) Determine the rate at which the population is increasing in 2010. Include units in your answer. MacBook Air DD D A F4 FS F7 F10 8 5 6 7 8 9 O T Y U O P