"Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODE's) deal with functions of one variable, which can often be thought of as time. Topics include: Solution of first-order ODE's by analytical, graphical and numerical methods; Linear ODE's, especially second order with constant coefficients; Undetermined coefficients and variation of parameters; Sinusoidal and exponential signals: oscillations, damping, resonance; Complex numbers and exponentials; Fourier series, periodic solutions; Delta functions, convolution, and Laplace transform methods; Matrix and first order linear systems: eigenvalues and eigenvectors; and Non-linear autonomous systems: critical point analysis and phase plane diagrams."

http://ocw.mit.edu/OcwWeb/Mathematics/18-03Spring-2006/CourseHome/index.htm

"Differential equations play a central role in describing natural phenomena as well as the complex processes that arise from science and technology. Differential Equations and Nonlinear Mechanics is a forum for the ing and analysis of nonlinear phenomena. One of the principal aims of the journal is to promote cross-fertilization between the various sub-disciplines of the sciences: physics, chemistry, and biology, as well as various branches of engineering and the medical sciences."

http://www.hindawi.com/journals/denm/

Exhaustive Information:

http://www.sosmath.com/diffeq/diffeq.html

http://www.jeomj.rmi.acnet.ge/memoirs/