Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equation Courses
Online course material
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 …
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, mecha…
Green's Function Theory
A set of lecture notes on Green's functions and their applications.
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.
MathPages: Calculus and DiffEq Notes
Kevin Brown's compilation of postings including many topics in differential equations.
The Animated Telegraph equation
This demonstration illustrates the behaviour of solutions of the telegraph equation
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.
The World of Mathematical Equations
Gives solutions to different types of ordinary differential equations, including linear and nonlinear functions. Many pages use PDF.