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A presentation that gives background in epidemiology, and presents the basic SIR and SIS models.
A lab exploring the growth of a population using first order differential equations. Explores different factors including scarce resources and harvesting.
The user is given a first order differential equation and four plots of direction fields and asked to choose the field that matches the given differential equation.
The applet draws solution curves (actually animates them) and direction fields for 2x2 autonomous systems.
Plots the solution curves of a user-input two dimensional system of autonomous differential equations. It has a reasonable parser, flexibility, and speed.
CLICK ON "SYSTEMS OF ODES" IN LEFT PANEL TO BEGIN. The first thing done is to rewrite the second order equation as a first order system and then the applet traces the solution through time.
User can enter (constant) coefficients for a second order differential equation with cosine forcing function and see the graph of the solution.
Enter (constant) coefficients for a first order autonomous system.
Applet that shows the poles of the Laplace transform in the frequency domain and the graph of the solution in the time domain simultaneously.
Eleven interactive activities from the definition to solutions of ODEs