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This webpage displays a graphical solution to a second-order, constant coefficient equation with a constant coefficient cosine forcing function.
This is an applet of the graphical phase plane of about ten different 2nd order systems of 1st Order ODEs. The applet requires download of the Wolfram Demonstrations Project (120MB)
The odetoolkit lets you enter a first order ode or system in normal form and then solve the initial value problem numerically, presenting the results either graphically or in tabular form.
This granular application shows the graph of exp(x) and interactively displays the Taylor polynomial approximations at any point and up to very high orders. It comes with a short explanation.
There are 58 applications of differential equations over four pages on the site. You can download the Maple worksheet as well as a description of the worksheet.

This applet allows one to change the frequency of two waves between 5 and 20 Hz with a slider scale as well as classify the waves as in or out of phase. You obtain the wave motion over time.

This Mathematica demonstration provides an interface for visualizing the solution of the classical SIR model for an infectious disease.
This Mathematica Demonstration shows a single-span Euler–Bernoulli beam under four possible support conditions and with three different loading arran
A powerful computational engine that will provide analytical and graphical solutions to differential equations input by the user
This is intended to be a universal encyclopedia for the exact (non-numeric) solution to all equations. Included in here are ODEs and PDEs.