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Department of Defense
Do Dea: Differential Equations
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...
Math Medics
S.o.s. Math: Linear Equations: Example 1
This lesson provides sample problems and solutions to first order linear differential equations.
Math Medics
S.o.s. Math: Separable Equations/examples
This lesson provides practice problems and solutions to separable differential equations.
Math Medics
S.o.s. Math: Separable Equations
This lesson defines a first order separable differential equation and shows the steps as to how to solve one.
Texas Instruments
Texas Instruments: Biological Models With Differential Equations
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...
Texas Instruments
Texas Instruments: Approximate Solutions: Differential Equations
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.")
Interactive Mathematics
Interactive Mathematics: Differential Equations & Rl Circuits
Use differential equations to solve problems dealing with series RL circuits. Examples help you practice the application.
Interactive Mathematics
Interactive Mathematics: Differential Equations & Rc Circuits
Differential equations are applied in solving problems involving electricity and RC circuits. Several examples are provided to allow you to practice applying the concept.
Other
Saylor Academy: Exponential Growth and Decay: Differential Equations
A textbook chapter on exponential growth and decay.
Wolfram Research
Wolfram Math World: First Order Ordinary Differential Equation
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.
Math Words
Math words.com: First Order Differential Equation
Explains what a first order differential equation is. An example is also given.
Other
Analytic Methods for Exact/linear Differential Equations
Shows how to solve both exact and linear differential equations.
Math Words
Math words.com: Separable Differential Equation
This site has a basic definition for what a separable differential equation is. An example problem is worked through.
Math Graphs
Houghton Mifflin: Math Graphs: Differential Equation Application [Pdf]
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.
Cengage Learning
Brooks/cole: Real World Mathematics
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.
Wolfram Research
Wolfram Math World: Clairaut's Difference Equation
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.
Math Medics
S.o.s. Math: Homogeneous Linear Equations
This lesson discusses the basic property of a homogeneous linear equation.
Math Medics
S.o.s. Math: Homogeneous Linear Equations With Constant Coef
This lesson shows how to solve a second order homogeneous equation with constant coefficients.
Other
Simon Fraser University: Background for Linear Systems
This site from the Simon Fraser University gives an introduction to solving a system of differential equations.
Texas Instruments
Texas Instruments: Differential Equations and Slope Fields
In this activity, students investigate and learn about functions known as sequences. They learn how they can be represented symbolically, graphically, and numerically.
Interactive Mathematics
Interactive Mathematics: 2nd Order D Es (Damping)
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.
Interactive Mathematics
Interactive Mathematics: 2nd Order Homogeneous Diff. Equations
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...
Interactive Mathematics
Interactive Mathematics: Separation of Variables
Differential equations are solved by separating the variables. Several examples are presented to demonstrate the process and include detailed solutions.
Texas Instruments
Texas Instruments: Projectile Motion
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...