The rate of change of the number of raccoons () in a population is directly proportional to (380 ()), where is the time in years. That is,

/ = (380 )

where is a constant.

a) Find the general solution of the differential equation.

b) When = 0, the population is 110, and when = 4, the population has increased to 150. Use these initial conditions to find the particular solution.

c) Use part b) to find the population when = 8.