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

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

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/

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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/

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

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/

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

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/

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