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Analytic Solution for Systems of DE Video

Extended detailed example on the process of creating a solution of a linear system from eigen-values and eigen-vectors. Clean homogeneous 2D system with initial condition.

Analytic Methods

Modeling Population Growth

A lab exploring the growth of a population using first order differential equations. Explores different factors including scarce resources and harvesting.

Modeling, ODE

Direction Fields (2D)

The user is given a first order differential equation and four plots of direction fields and asked to choose the field that matches the given differential equation.

Graphic Methods

Jode

Massive applet with many options for graphing 3d systems. Comes with instructions for all the options.

Graphic Methods

Dynamical Systems

Four different applets for graphing solutions to systems of equation.

Graphic Methods

World of Bifurcation

Many many examples of real-world bifurcation problems. Includes an index of examples. Smaller collection of demos and software (mostly 10 year old Fortran programs)

Collections and Archives

Separable Differential Equations

An interactive maplet that gives a differential equation and then steps the user through the process of solving the separable equation, allowing them to check their solutions at each step.

Analytic Methods

First Order Linear Differential Equations

An interactive maplet that gives a differential equation and then steps the user through the process of solving the first order linear equation, allowing them to check their solutions at each step

Analytic Methods

Interactive Math - Differential Equations

Mostly a sort of on-line text on basic ODE topics (including types of equations and solutions), but the author has included several examples under each topic and has a link to show step-by-step so

Analytic Methods

Maple Worksheets on First Order Differential Equations

A collection of Maple worksheets that go through analytic methods of solving first order differential equations (separable, linear, integrating factor, exact, Bernoulli).

Analytic Methods