Question

1. Plot the y(C) if available fort 0 to 5. 7. Logistic population growth (exponential but eventually limited) is modeled by a function which satisfies the differential equation-ky(L-y) where k is the growth rate and Lis the limit. I an initial population of y(0) 70 has growth rate k 0.22e-3 with limit 3000, find the population after 10 years. 8. The following differential equation provides a simple model of a suspension system. The constant m gives

need assistance and explanations would be nice thank you :)

Answer 1

MATLAB script

clc
clear
close all
tspan=[0 10];
y0=70;k=0.22e-3;l=3000;
[t,y]=ode45(@(t,y) k*y*(l-y),tspan,y0);
plot(t,y,'-o')
xlabel('time(Years)')
ylabel('Population')
fprintf('Population after 10 years is %.4g\n',y(end))

Results

Population after 10 years is 2838

3000 2500 2000ト 51500 F 1000 50아 0 0 1 234 5 6 78 9 10 time(Years)