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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
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Green's Function Library
Collection of Green's function solutions to canonical differential equations.
http://www.engr.unl.edu/~glibrary/
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Analytic Differential Equations
Lectures on Analytic Differential Equations by Sergei Yakovenko at the Weizmann Institute.
http://www.wisdom.weizmann.ac.il/~yakov/thebook.pdf
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Ordinary Differential Equations
Course notes by Klaus Schmitt at the University of Utah.
http://www.math.utah.edu/~schmitt/math6410.html
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Partial Differential Equations
"PDE Primer" by Ralph Showalter at Oregon State.
http://www.math.oregonstate.edu/~show/docs/pde.html
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Partial Differential Equations
Maple lessons for an undergraduate course in Differential Equations by Jim Herod.
http://www.mapleapps.com/powertools/pdes/pdes.shtml
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Partial Differential Equations
Lecture notes on Analysis and PDEs by Bruce Driver at UCSD.
http://math.ucsd.edu/~driver/231-02-03/lecture_notes.htm
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Differential Equations
Postscript notes on various topics in differential equations by Bruce Ikenaga.
http://marauder.millersville.edu/~bikenaga/diffeq/deqnote.html
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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 chang
http://home.comcast.net/~cmdaven/burgers.htm
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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.comcast.net/~cmdaven/korteweg.htm
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