A matlab coding problem

Test your code with parameters provided. The output of your function must produce a well annotated plot that plots N(t) vs. t. The plot title should display input parameters of N0, a and b. Display the analytical solution on the plot as well.

1.6. Population growth problems often give rise to rate equations that are first-order. For example, the equation dN (1.13) dt might describe how the number of individuals in a population, N, varies with time. Here the first term aN corresponds to the birth of new members, while the second term -bN2 corresponds to deaths. The death term is proportional to N2 to allow for the fact that food will become harder to find when the population N becomes large. Begin by solving (1.13) with b 0 using the Euler method, and compare your numerical result with the exact solution. Then solve (1.13) with nonzero values b. Give an intuitive explanation of your results. Interesting and b 10 and 0.01