Please use matlab

Please use matlab

Please use matlab

22.4 The growth of populations of organisms has many engineering and scientific applications. One of the simplest models assumes that the rate of change of the population p is proportional to the existing population at any time t: dp = k P (P22.4.1) dt where k, = the growth rate. The world population in millions from 1950 through 2000 was t 1950 2555 1955 2780 1960 3040 1965 3346 1970 3708 1975 4087 1 1980 4454 1985 4850 1990 5276 1995 5686 2000 6079 (a) Assuming that Eq. (P22.4.1) holds, use the data from 1950 through 1970 to estimate ka. (b) Use the fourth-order RK method along with the results of (a) to stimulate the world population from 1950 to 2050 with a step size of 5 years. Display your simulation results along with the data on a plot. 22.4 The growth of populations of organisms has many engineering and scientific applications. One of the simplest models assumes that the rate of change of the population p is proportional to the existing population at any time t: dp = k P (P22.4.1) dt where k, = the growth rate. The world population in millions from 1950 through 2000 was t 1950 2555 1955 2780 1960 3040 1965 3346 1970 3708 1975 4087 1 1980 4454 1985 4850 1990 5276 1995 5686 2000 6079 (a) Assuming that Eq. (P22.4.1) holds, use the data from 1950 through 1970 to estimate ka. (b) Use the fourth-order RK method along with the results of (a) to stimulate the world population from 1950 to 2050 with a step size of 5 years. Display your simulation results along with the data on a plot