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

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

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

C*ODE*E Archive
   Consortium of ODE Experiments at Harvey Mudd College. Newsletter, graphics, links.
   http://www.math.hmc.edu/codee/

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

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

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/

Differential Equations in a Nutshell
   An overview of the terms used, as well as solving general and initial value problems. Includes corresponding graphs.
   http://spot.pcc.edu/~ssimonds/m253/week_6/MTH_253_diffy_Q_200602.pdf

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

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/

Green's Function Library
   Collection of Green's function solutions to canonical differential equations.
   http://www.engr.unl.edu/~glibrary/

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

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

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

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

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

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

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/

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

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

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

The World of Mathematical Equations
   Gives solutions to different types of ordinary differential equations, including linear and nonlinear functions. Many pages use PDF.
   http://eqworld.ipmnet.ru/

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

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