This discussion on the differential is an introduction for the topic of integration. An interactive example shows the diiference between a derivative and a differential, and is followed by a discussion on relative error and proportionate...

Elementary Solution Methods for First-Order ODEs: Contains a large amount of information regarding first order differential equations, including definitions, examples, and basic properties.

Defines and gives examples of a second order differential equation including linear second-order ordinary differential equations.

Use the TI-89 to find the area between curves, find arc length, and solve first and second order differential equations. Examples in the activity use calculator screenprints and keystroke instructions to demonstrate the use of the...

This activity exclusively uses the graphing calculator's ability to apply Euler's method to find a solution to a differential equation with a given initial condition.

This activity is an application of differential equations and slope fields. Students first go through the traditional paper and pencil method of solving a differential equation. (Continued. See "before the activity.")

In this activity, students use the calculator to visualize a function using the equation describing its derivative and a single point on the function. They start with simple equations and later solve more complex and difficult...

In this activity, students take a closer look at numerical methods used to solve initial-value differential equations, including the methods used internally by the calculator. They also learn to solve numerical computations for the...

In this activity, students learn what a slope field represents in terms of dy/dx. Students create a slope field for a given differential equation

In this activity, students identify whether a slope field approximately reflects a differential equation. They also determine whether a potential solution fits the slope field.

In this activity, students learn about the differential equations used to model the simple harmonic motion of a block attached to a spring. They study the effect of air resistance on the motion and create an animation to describe its...

In this activity students use Computer Algebra System (CAS) to solve differential equations using Euler's method, Runge Kutta method, and other built-in methods.

In this activity, students explore the nonlinear model for a simple pendulum. They use the calculator to solve higher order differential equations.

Several problems are presented to demonstrate the process of solving linear differentiable equations using an integrating factor. A few of the examples have the solution hidden, so you can work the problem first then check your answer.

A complete reference guide to Euler's Method. It provides definitions, examples. and an interactive activity that enhances further explanation. Includes links to related topics.

Students differentiate an equation in two variables with respect to one. They calculate points where the tangent line is horizontal, vertical, or oblique and use the graphing capacity of the TI-89 to display the graph of the implicit...

This lesson covers constant, natural, and non-constant forced responses. Very detailed examples are included that work the problems step by step, with graphs, to assist in visual understanding.

If you are a budding environmental scientist, archeologist. physical scientist, or bacteriologist, then this is the site is for you. You will be looking at the differential equation of proportional change and how it is related to the...

This site provides information about first order separable differential equations. The site gives several general forms of differential equations and how to solve each type generally.

This site provides information about first order separable differential equations. The site gives several general forms of differential equations and how to solve each type generally.

This site provides information about first order separable differential equations. The site gives several general forms of differential equations and how to solve each type generally.

This site provides information about first order separable differential equations. The site gives several general forms of differential equations and how to solve each type generally.

This site provides information about first order separable differential equations. The site gives several general forms of differential equations and how to solve each type generally.

The practice problem examines slope fields and differential equations. Learners find approximate solutions and a particular solution of a given differential equation. The handout is available in PDF format.