The human population x of a certain island satisfies the logistic law dx/dt = kx – Ax? with k = 0.03 = 3 x 10-2, 2= 3 x 10-8 , and time t measured in years. (a) If the population in 1980 is 200,000,...

solve using differential equation

Extracted text: The human population x of a certain island satisfies the logistic law dx/dt = kx – Ax? with k = 0.03 = 3 x 10-2, 2= 3 x 10-8 , and time t measured in years. (a) If the population in 1980 is 200,000, find a formula for the population in future years. (b) According to the formula of part (a), what will be the population in the year 2000? (c) What is the limiting value of the population as t → o?