Study Guide
Department of Defense

Do Dea: Differential Equations

For Students 9th - 10th
A separable differential equation is one which is in the form dy/dx = g(x) h(y). Learn how to take the integral by separating the variables and put the y's on one side with the dy and the x's on the other with the dx. View an example on...
Activity
Math Medics

S.o.s. Math: Linear Equations: Example 1

For Students 9th - 10th
This lesson provides sample problems and solutions to first order linear differential equations.
Activity
Math Medics

S.o.s. Math: Separable Equations/examples

For Students 9th - 10th
This lesson provides practice problems and solutions to separable differential equations.
Activity
Math Medics

S.o.s. Math: Separable Equations

For Students 9th - 10th
This lesson defines a first order separable differential equation and shows the steps as to how to solve one.
Activity
Texas Instruments

Texas Instruments: Biological Models With Differential Equations

For Teachers 9th - 10th
In this activity, students explore several models representing the growth (or decline) of a biological population. They study models of a single population that have a closed-form solution, and models of several interacting populations...
Activity
Texas Instruments

Texas Instruments: Approximate Solutions: Differential Equations

For Teachers 9th - 10th
The base of the natural logarithm function, is called Euler's number, in honor of Leonhard Euler, a great Swiss mathematician. (Continued. See "before the activity.")
Activity
Interactive Mathematics

Interactive Mathematics: Differential Equations & Rl Circuits

For Students 9th - 10th
Use differential equations to solve problems dealing with series RL circuits. Examples help you practice the application.
Activity
Interactive Mathematics

Interactive Mathematics: Differential Equations & Rc Circuits

For Students 9th - 10th
Differential equations are applied in solving problems involving electricity and RC circuits. Several examples are provided to allow you to practice applying the concept.
eBook
Other

Saylor Academy: Exponential Growth and Decay: Differential Equations

For Students 9th - 10th
A textbook chapter on exponential growth and decay.
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
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
Other

Analytic Methods for Exact/linear Differential Equations

For Students 9th - 10th
Shows how to solve both exact and linear differential equations.
Handout
Math Words

Math words.com: Separable Differential Equation

For Students 9th - 10th
This site has a basic definition for what a separable differential equation is. An example problem is worked through.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Differential Equation Application [Pdf]

For Students 9th - 10th
Students examine differential equations and slope fields in this rate of change example. The resource consists of an enlarged printable version of a slope field available in PDF format.
Website
Cengage Learning

Brooks/cole: Real World Mathematics

For Students 9th - 10th
This page describes different types of applications in which different forms of Math can be used. Scroll down near the bottom of the page to read about how differential equations can be used in solving real world problems.
Handout
Wolfram Research

Wolfram Math World: Clairaut's Difference Equation

For Students 9th - 10th
This page from Mathworld.com gives a very brief statement of Alexis Claude Clairaut's Difference Equation, also called Clairaut's Differential Equation. (This equation is a special case of Lagrange's Equation.) Includes special links.
Activity
Math Medics

S.o.s. Math: Homogeneous Linear Equations

For Students 9th - 10th
This lesson discusses the basic property of a homogeneous linear equation.
Activity
Math Medics

S.o.s. Math: Homogeneous Linear Equations With Constant Coef

For Students 9th - 10th
This lesson shows how to solve a second order homogeneous equation with constant coefficients.
Activity
Other

Simon Fraser University: Background for Linear Systems

For Students 9th - 10th
This site from the Simon Fraser University gives an introduction to solving a system of differential equations.
Activity
Texas Instruments

Texas Instruments: Differential Equations and Slope Fields

For Teachers 9th - 10th
In this activity, students investigate and learn about functions known as sequences. They learn how they can be represented symbolically, graphically, and numerically.
Activity
Interactive Mathematics

Interactive Mathematics: 2nd Order D Es (Damping)

For Students 9th - 10th
The use of differential equations to work electrical circuit problems with damping is demonstrated. Several examples are provided, along with detailed solutions. The fourth example includes several alternative solutions.
Activity
Interactive Mathematics

Interactive Mathematics: 2nd Order Homogeneous Diff. Equations

For Students 9th - 10th
This tutorial walks through the definition, description, and method of solving second order homogeneous differential equations. There are several exercises that allow you to practice the concept once you have seen the examples worked in...
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.
Activity
Texas Instruments

Texas Instruments: Projectile Motion

For Teachers 9th - 10th
In this activity, students can use the calculator's differential equation graphing mode to model projectile motion. They analyze time-height data for a falling object using the statistical features of the calculator. They also compare...

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