Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equation Courses  
   Online course material
   http://math.bu.edu/DYSYS/ode-bif/ode-bif.html

GetDP (a General environment for the treatment of Discrete Problems)  
   A scientific software environment for the numerical solution of integro-differential equations, open to the coupling of physical problems (electromagnetic, acoustic, thermal, mechanical, ...) as well as of numerical methods (finite element methods, bounda
   http://www.geuz.org/getdp/

MGNet  
   Information related to multigrid, multilevel, multiscale, aggregation, defect correction, and domain decomposition methods.
   http://www.mgnet.org/

Nonlinear Differential Equations at Glasgow  
   The site describes research activities of the differential equations group in the mathematics department at the university of Glasgow, UK, and provides some resources of a general nature.
   http://www.maths.gla.ac.uk/~ca/

The Animated Telegraph equation  
   This demonstration illustrates the behaviour of solutions of the telegraph equation
   http://www.math.ubc.ca/~feldman/demos/demo8.html

Differential Equations in Industry and Commerce  
   European TMR network coordinated at the Oxford Centre for Industrial and Applied Mathematics.
   http://www.maths.ox.ac.uk/ociam/TMR/

arXiv Front: AP Analysis of PDEs  
   PDEs section of the mathematics e-print arXiv.
   http://front.math.ucdavis.edu/math.AP

Computational PDEs Unit  
   School of Computing, University of Leeds. Research details, publications, software and resources.
   http://www.scs.leeds.ac.uk/cpde/

Numerical Methods for Partial Differential Equations  
   Methods such as finite differences, finite elements, fast Fourier transforms, Monte-Carlo and Lagrangian schemes are discussed in 1D to solve a variety of problems including the advection, diffusion, Black-Scholes, Burger, Korteweg-DeVries and the Schroed
   http://www.fusion.kth.se/courses/pde

Math Unit III: More on the derivative and differential equations  
   Exact definition of derivation and calculating the relationship of derivatives of related functions.
   http://dept.physics.upenn.edu/courses/gladney/mathphys/subsection3_1_1.html

PRIDE  
   Products by Rapid Integrated Detailed Engineering. An application of PDEs in engineering design.
   http://www.amsta.leeds.ac.uk/Applied/CAGD.dir/PRIDE/index.htm

Analytic Solution for the Burgers Equation  
   Provides the general analytic solution for the Burgers equation in the form of a 4-D commutative hypercomplex function. The solution exhibits the main dynamic features in a Burgers medium: propagation of disturbances, shock waves, propagating state change
   http://home.usit.net/~cmdaven/burgers.htm

Table of Laplace Transforms  
   This page contains an extensive table of Laplace transforms. Laplace transforms are used to solve certain differential equations.
   http://www.vibrationdata.com/Laplace.htm

Difference Method for Numerical Approximation to Applied Differential Equations.  
   This page explains how to use the difference formula of differentials to approximate the differential equations for applied systems. This method is used when analytical techniques are unavailable or cause computers to spit out garbage. This difference met
   http://www.geocities.com/b_ward.rm/na.html

MathPages: Calculus and DiffEq Notes  
   Kevin Brown's compilation of postings including many topics in differential equations.
   http://www.mathpages.com/home/icalculu.htm

Elliptic Problems with Concentrated Loading  
   A web text on the background to the extrapolation method for the numerical solution of elliptic boundary value problems by Kwok Sui-Yuen Billy.
   http://www.sci.hkbu.edu.hk/msc/full/billy/billy.html

Finding Green's Functions for ODEs  
   A brief but technical overview of methods of finding Green's functions. By Evans M. Harrell II and James V. Herod.
   http://www.mathphysics.com/pde/green/g15.html

Introduction to Green's Functions  
   Green's functions play an important role in the solution of linear ordinary and partial differential equations, and are a key component to the development of boundary integral equation methods.
   http://www.boulder.nist.gov/div853/greenfn/tutorial.html

Weak and Variational Forms of Poisson's Equation  
   A set of lecture notes on Poisson's equation. [PDF Format]
   http://caswww.colorado.edu/courses.d/AFEM.d/AFEM.Ch03.d/AFEM.Ch03.pdf

Green's Function Theory  
   A set of lecture notes on Green's functions and their applications.
   http://www.math.ohio-state.edu/~gerlach/math/BVtypset/node59.html

Linear Mathematics in Infinite Dimensions  
   A set of lecture notes on the mathematical framework that underlies linear systems arising in physics, engineering and applied mathematics.
   http://www.math.ohio-state.edu/~gerlach/math/BVtypset/node2.html

Partial Differential Equations  
   An overview of partial differential equations and their physical applications.
   http://www.sst.ph.ic.ac.uk/angus/Lectures/compphys/node24.html

The Polar Representation Theorem  
   An article covering n-dimensional time-dependent linear Hamiltonian systems. By Jorge Rezende from the University of Lisbon. In PDF format.
   http://gfm.cii.fc.ul.pt/Members/jr_polar-repr.pdf

PDEase2D 3.0  
   Solves partial differential equations numerically by finite element analysis for use in such problems as heat transfer, reaction diffusion, solid and fluid mechanics, electromagnetics, groundwater flow, and quantum mechanics.
   http://www.scientek.com/macsyma/pdmain.htm

Navier-Stokes Type Equations  
   Explicit solutions provided for this particular type of equation and their relations to the heat equation, Burger's equation, and Euler's equation.
   http://www.coolissues.com/mathematics/Navier-Stokes/nstokes.htm

Analytical solution for the Korteweg-de Vries equation  
   Provides the general analytic solution for the KdV equation. In one function, the result models traveling wavetrains, solitary spikes (solitons), and sech-form long waves.
   http://home.usit.net/~cmdaven/korteweg.htm

XMorphia  
   A set of graphics and notes intended to show how complex patterns can arise from simple differential equations.
   http://www.cacr.caltech.edu/ismap/image.html

Differential Equations in Banach Algebras  
   Fuchsian Singularities of Linear Ordinary Differential Equations in Banach Algebras. By Gerald Albrecht in Wuppertal. [PDF]
   http://www.gwfa.de/math/Fuchs_1996.pdf

ODEcalc  
   An ordinary differential equation (ODE) calculator. State your equation and boundary or initial value conditions and it solves your problem. Plots solution, y, and derivative, ydot, versus x. Solves nth order ODE as IVP and BVP.
   http://www.digitalcalculus.com/demos/ODEcalc/

Stripf's Homepage  
   A Java Applet to illustrate and solve initial value problems. Uses different numerical methods (e.g. Runge-Kutta) that can be compared to each other.
   http://home.t-online.de/home/wstripf/

C*ODE*E  
   Consortium of ODE Experiments. Newsletter, graphics, links.
   http://www.math.hmc.edu/codee/main.html