This project is going to show you how MATLAB can be used to solve systems of differential equations, and

the applications that are often involved with systems.

Project Instructions

Go to MathWorks and click on "Try this Example", and run the program. This is a nice visualization

of how a complex system of differential equations can be used to describe the motion of a baton as

it twirls through the air. Open the commands for this program and copy them into your Word

document.

Go to the next example, Predator$-$Prey $,$ and look at its commands before running:

a$.$ Click on "Try this Example", and run the program. Save the plot of the model for the given

predator$-$prey simulation with initial populations of $20$ each.

b$.$ Go into the section of programming titled "Simulate System", change the number of predators

to $40,$ leave the prey at $20,$ and repeat the process.

c$.$ Go into the section of programming titled "Simulate System", change the number of prey to

$40,$ leave the predators at $20,$ and repeat the process.

d$.$ Write a synopsis comparing the graphs of these three systems, with graphs in your word

document.

Now look at this example that uses an array to change the population $$ or you.

Finally, make yourself more familiar with the syntax of programming MATLAB yourself by looking at

some basic examples