Our last objective was to find exact solutions to the systems of differential equations we made in the last assignment. The first step was to put the two equations in matrix form with the eigenvalues -3,1,1,-3 in one matrix and y1 and y2 in the other matrix. We had to find a value for x so that the matrix equation.

For this project we were given two first order linear differential equations. Our goal is to use the characteristic equation. To find values for the constants. In each case the eigenvalues. Are the roots for the characteristic equation. In the code, we replaced the constants.

For this project, my teammates were the same as those in Project 1. Represents growth rate of prey. Is the rate at which predators destroy prey. Is the death rate of predators. Is the rate at which the number of predators increase by eating prey. For these two equations, we used specific values that we found to work after trial and error. The values we found for these variables were.

Mdash; Leave a comment. Mdash; Leave a comment. Mdash; Leave a comment. I enjoyed the other presentations. The other teams worked very hard on their projects and the other predator pre.

Project three consisted of two steps. Using Mat Lab and code found on the class website, we created a plot of the function at the given parameters.