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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.
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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.
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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.
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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...
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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...
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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,...
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.