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Beats

This applet allows one to change the frequency of two waves between 5 and 20 Hz with a slider scale as well as classify the waves as in or out of phase. You obtain the wave motion over time.

Modeling, ODE, Ordinary Differential Equations

Collection SOS Mathematics

This site contains notes for a variety of elementary differential equations topics.Â Headings of major sectionsÂ include: first order, second order (including series solutions

Collections and Archives

First-Order Linear Homogeneous Equations

This webpage displays fully-worked examples showing the solution of a first-order linear inhomogeneous differential equation with constant coefficients.

Analytic Methods

First-Order Bernoulli Equations

This webpage displays fully-worked examples showing the solution of a first-order Bernoulli differential equation with constant coefficients.

Analytic Methods

Series Solution of a Cauchy-Euler equation

This Mathematica Demonstration considers a single initial value problem for a single Cauchy-Euler equation.

Series, Series

JOde: A Java Applet for Studying Ordinary Differential Equations

A Java applet that allows one to interactively analyze (graphically) second order differential equations.

Graphic Methods

Introduction to Laplace Transforms in WolframMathworld

One-page introduction into Laplace Transforms with text references

Laplace Transforms

Java Graphers

This is the homepage for a collection of graphers written in Java.

Graphic Methods

IDE: Graphing DES: Slope Fields

This applet provides an interface for displaying the slope field associated with a first-order DE \(x'=f(t,x)\). There is a nice collection of built-in problems, or you can enter your own.

Graphic Methods

First-Order Linear Equations

This webpage displays fully-worked examples showing the solution of an initial value problem for a first-order linear ODE.

Analytic Methods