Website
Math Medics

S.o.s. Math: First Order Differential Equations

For Students 9th - 10th
This lesson defines a first order differential equation and provides links to properties of first order differential equations.
Handout
Harvey Mudd College

Harvey Mudd College: Elementary Solution Methods for First Order Od Es

For Students 10th - 12th
Elementary Solution Methods for First-Order ODEs: Contains a large amount of information regarding first order differential equations, including definitions, examples, and basic properties.
Activity
Texas Instruments

Texas Instruments: Differential Equations

For Teachers 9th - 10th
In this activity, students analyze first order, second order, and autonomous systems of two first order differential equations.
Activity
Texas Instruments

Texas Instruments: Higher Order Differential Equations

For Teachers 9th - 10th
In this activity, students use the calculator to graph the solution to a second-order and third-order differential equations. They convert higher order differential equations by substitution to a system of first order differential...
Activity
Paul Dawkins

Paul's Online Notes: Differential Equations

For Students 9th - 10th
The tutorial explores differential equations. Topics examined are first order differential equations, second order differential equations, Laplace transforms, Fourier series, higher order differential equations, and systems of...
Activity
Paul Dawkins

Paul's Online Notes: Differential Equations: First Order Differential Equations

For Students 9th - 10th
The tutorial explores first order differential equations. Topics examined are linear equations, separable equations, Bernoulli differential equations, equilibrium solutions, Euler?s method, and intervals of validity. Class notes,...
Activity
Analyze Math

Analyze Math: Solve First Order Differential Equations

For Students 9th - 10th
The tutorial investigates solving first order differential equations. The resource consists of examples with detailed solutions.
Unit Plan
Khan Academy

Khan Academy: Exponential Models & Differential Equations

For Students 9th - 10th
This video, from Khan Academy, is about modeling different things with differential equations and this topic is well explained by modeling population.
Handout
Wolfram Research

Wolfram Math World: First Order Ordinary Differential Equation

For Students 9th - 10th
This math site defines a first order differential equation. Includes information on how to solve an equation of this form and also how to find the roots.
Handout
University of Texas at Austin

Euler's Method

For Students 9th - 10th
This site contains a description and problems dealing with Euler's method. The site discusses why the Euler method is not used in scientific computations.
Handout
Math Words

Math words.com: First Order Differential Equation

For Students 9th - 10th
Explains what a first order differential equation is. An example is also given.
Activity
eFunda

Efunda: First Order Ordinary Differential Equations

For Students 9th - 10th
This site from Efunda provides a defintion and examples of the use of first oder ordinary differential equations.
Handout
eFunda

E Funda: Separable Differential Equations

For Students 9th - 10th
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.
Activity
Interactive Mathematics

Interactive Mathematics: Separation of Variables

For Students 9th - 10th
Differential equations are solved by separating the variables. Several examples are presented to demonstrate the process and include detailed solutions.