Applications:
http://www.sci.wsu.edu/idea/current.html Various Applications
http://links.math.rpi.edu/webhtml/DEindex.html Various Applications
http://www.sosmath.com/diffeq/first/application/application.html Various
applications
http://www.ccsr.uiuc.edu/People/gmk/Papers/ChuaSndRef.html Chaos and
differential equations
http://dept.physics.upenn.edu/courses/gladney/mathphys/java/Contents.html
Derivatives and Change with applications
http://www.stolaf.edu/people/mckelvey/envision.dir/lakes/node5.html Great
Lakes Problem
http://wwwusers.imaginet.fr/~chouard/equation_eiffel_tower.html Eiffel Tower
Equation
http://www.physics.orst.edu/~nacse/hans/DIFFEQ/mydif2/ DIFFERENTIAL
EQUATIONS AND OSCILLATIONS
http://www.sst.ph.ic.ac.uk/angus/Lectures/compphys/node15.html Project --
Classical Electrons in a Magnetic Field
http://157.142.72.143/gaps/pkbio/pkbio.html Applications related to
Pharmacokinetics and Biopharmaceutics
http://www.ma.iup.edu/projects/CalcDEMma/drag/drag.html The Drag Force on a
Sphere
http://dept.physics.upenn.edu/courses/gladney/mathphys/java/sect2/subsubsect
ion2_1_1_4.html#SECTION02_1_1_4 The rate
for synthesis of ammonia from nitrogen and hydrogen can be determined from
the solution of differential equations
http://www.geom.umn.edu/java/Lorenz/ This is a numerical simulation of the
Lorenz equations.



General:
http://forum.swarthmore.edu/library/topics/ordinary_diffeq/ A collection of
sites devoted to ODE.
http://www.math.niu.edu/~rusin/known-math/index/34-XX.html General
collection of ODE Material including
spacific topics in depth.
http://www.math.hmc.edu/codee/main.html Consortium of ODE Experiments:
highlight the wealth of computational
instruction techniques available in differential equations.
http://www.math.hmc.edu/codee/index/title_index.html A title index of CODE.
http://www.math.hmc.edu/codee/search.html A search engine for CODE.
http://mathworld.wolfram.com/topics/OrdinaryDifferentialEquations.html
Resource Library from Mathematica very
comprehensive.
http://www.sst.ph.ic.ac.uk/angus/Lectures/compphys/node1.html ODE lectures
(from a pyhsics point of view) on line.
http://www.sosmath.com/diffeq/diffeq.html An online ODE text.
http://www.ma.iup.edu/projects/CalcDEMma/advmath.html Advanced Mathematics
for Applications Mathematica Notebooks
http://mickey.lcsc.edu/~diffeq/notes.html Notes covering some material the
Chapters 1 and 2
http://iq.orst.edu/mathsg/ode/ode.html Web Study Guide for Ordinary
Differential Equations
http://lie.uwaterloo.ca/odetools.htm ODETools package for Maple
http://www.physique.fundp.ac.be/physdpt/administration/convode.html Reduce
Package for solving ODE's.
http://www.az-tec.com/epub/ehode/index.htm Handbook of Differential
Equations Book site (Limited Edition)
http://ejde.math.swt.edu/ Site contains articles relating to Differential
Equations, their solutions, and their
applications. This is a forum for researchers to share their publications
with the mathematics community.
http://www.cecm.sfu.ca/organics/papers/wagon/paper/html/wagon0.html New
Visualization Ideas for Differential
Equations in Unevaluated Mathematica
http://www.cecm.sfu.ca/organics/papers/wagon/paper/html/wagon.html New
Visualization Ideas for Differential
Equations Evaluated in Mathematica
http://asp.esam.nwu.edu/kath/b21.html A general course page including review
material
http://www.sinica.edu.tw/cc/pd-man/octave-1.1.1/octave_13.html#SEC81 A free
program (OCTAVE) which permits the
numerical solution of ODEs
http://www.dartmouth.edu/~rewn/javaindex.html Java applets for many aspects
of ODE demonstrations.
http://www.mathcs.nebrwesleyan.edu/delabs/ Nebraska Wesleyan University
Differential Resouces page: Contains links
to many other resources.
http://www.math.duke.edu/education/ccp/materials/diffeq/ Materials to use in
theteaching of ODE.
http://www.math.utep.edu/classes/3226/Mathematica/mathematica.html Material
related to Blanchard, Devaney and Hall
Differential Equations Preliminary Edition. PWS, Boston. You will need
Mathreader to view (see below).
http://www.wolfram.com/products/mathreader/ Free reader to permit the
reading of Mathematica notebooks.
http://math.cl.uh.edu/ode/ode.html An introduction to ODE with Mathematica
(requires Mathreader see above)
http://math.cl.uh.edu/ode/htmldocs/index.htm Mathematica notebooks related
to the above book. (requires Mathreader
see above)



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1. INTRODUCTION.
http://calclab.math.tamu.edu/docs/math308/topics.html#intro A brief
introduction to Differential Equations in
Maple. Examples include: dsolve, odeplot, and DEplot1.
http://mickey.lcsc.edu/~diffeq/chapter.01.html Notes relating to material in
Chapter 1
http://iq.orst.edu/mathsg/ode/first/firstmap.html Into to ODE
http://www.physics.orst.edu/~nacse/hans/DIFFEQ/EXT/class/class.html Brief
Introduction to ODE

1.1 Some Applications Leading to Differential Equations.

1.2 Basic Concepts.
http://www.sosmath.com/diffeq/basicdef/basicdef.html Basic Concepts
http://www.dartmouth.edu/~rewn/dirfld.html Java applet for direction fields

1.3 Direction Fields for First Order Equations.
http://www.math.udel.edu/teaching/course_materials/M302/monk/notes/node14.ht
ml#SECTION00300000000000000000 Integral

Curves and Direction Fields
http://www.sosmath.com/diffeq/slope/slope1.html Slope fields

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2. FIRST ORDER EQUATIONS.
http://calclab.math.tamu.edu/docs/math308/intro/deintro.txt Using Maple to
get solutions to all sorts of first order
ODE's.
http://www.math.udel.edu/teaching/course_materials/M302/monk/notes/node19.ht
ml#SECTION00400000000000000000 Solving
ODE's in MAPLE
http://mickey.lcsc.edu/~diffeq/chapter.02.html Notes relating to material in
Chapter 2
Error! Hyperlink reference not valid. First
Brief first order introduction

2.1 Linear First Order Equations.
http://calclab.math.tamu.edu/docs/math308/intro/DEquicktour.txt Quick tour
of first order ODE
http://www.math.udel.edu/teaching/course_materials/M302/monk/notes/node19.ht
ml#SECTION00400000000000000000 Solving
ODE's in MAPLE
http://www.sosmath.com/diffeq/first/lineareq/lineareq.html Tour of liinear
equations

2.2 Separable Equations.
http://calclab.math.tamu.edu/docs/math308/1storder/separable-ex.txt Using
Maple: separable equations
http://www.math.udel.edu/teaching/course_materials/M302/monk/notes/node24.ht
ml#SECTION00510000000000000000 Logistic

Model
http://www.sosmath.com/diffeq/first/separable/separable.html Separable
equations
http://www.sosmath.com/diffeq/first/bifurcation/bifurcation.html Bifurcation
of solutions

2.3 Existence and Uniqueness of Solutions of Nonlinear Equations.
http://www.sosmath.com/diffeq/first/existence/existence.html Existence
http://www.sosmath.com/diffeq/first/picard/picard.html Picard iteration
process

2.4 Transformation of Nonlinear Equations into Separable Equations.
http://www.sosmath.com/diffeq/second/nonlineareq/nonlineareq.html Intro to
non linear ODE

2.5 Exact Equations.
http://www.sosmath.com/diffeq/first/homogeneous/homogeneous.html Homogeneous
equations
http://www.sosmath.com/diffeq/first/exact/exact.html Exact equations

2.6 Integrating Factors.
http://www.sosmath.com/diffeq/first/intfactor/intfactor.html Integrating
Factors

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3. NUMERICAL METHODS.

3.1 Euler's Method.
http://www.dartmouth.edu/~rewn/euler.html Euler Java Applet
http://nacphy.physics.orst.edu/ComPhys/DIFFEQ/mydif2/node2.html Euler's
method
http://calclab.math.tamu.edu/docs/math308/numerical/euler.txt Using Maple
http://calclab.math.tamu.edu/docs/math308/numerical/kirschner-euler1.txt
Demo using Maple
http://www.sosmath.com/diffeq/first/numerical/numerical.html Euler Method
http://www.physics.orst.edu/~nacse/hans/DIFFEQ/mydif2/node2.html Euler
Method

3.2 The Improved Euler Method and Related Methods.
http://www.dartmouth.edu/~rewn/fDEtext.html Java applet for improved Euler
Method
http://nacphy.physics.orst.edu/ComPhys/DIFFEQ/mydif2/node5.html Improved
Euler Method
http://calclab.math.tamu.edu/docs/math308/numerical/kirschner-euler2.txt
Using Maple improved Euler Method
http://www.dartmouth.edu/~rewn/firstDE.html Java applet for first order ode.

3.3 The Runge-Kutta Method.
http://www.dartmouth.edu/~rewn/runkut.html Java applet for RK-4
http://nacphy.physics.orst.edu/ComPhys/DIFFEQ/mydif2/node5.html RK-4
http://calclab.math.tamu.edu/docs/math308/numerical/R4-runkut.txt Using
Maple V.4
http://www.physics.orst.edu/~nacse/hans/DIFFEQ/mydif2/node6.html RK-4 Method

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4
4. APPLICATIONS OF FIRST ORDER EQUATIONS.
http://calclab.math.tamu.edu/docs/math308/applications/key-chain.txt Key
Chain application
http://nacphy.physics.orst.edu/ComPhys/DIFFEQ/mydif2/node8.html Example of
exponential decay - fluorescent light
http://www.sci.wsu.edu/idea/Logistic/ Model of ecosystems
http://www.sci.wsu.edu/idea/Irrigation/welcome.html Model of irrigation

4.1 Growth and Decay.
http://www.sci.wsu.edu/idea/El-Nino/welcome.html Model of El Nino
http://www.sci.wsu.edu/idea/Salmon/welcome.html Salmon migration
http://www.sosmath.com/diffeq/modeling/modeling.html Population growth
http://www.sosmath.com/diffeq/first/bifurcation/bifurcation.html Bifurcation
http://www.sosmath.com/diffeq/first/application/radioactive/radioactive.html
Radioactive decay
http://www.sosmath.com/diffeq/first/application/population/population.html
Population dynamics
http://dept.physics.upenn.edu/courses/gladney/mathphys/java/sect2/subsection
2_1_2.html The Growth of Populations

4.2 Cooling and Mixing.
http://links.math.rpi.edu/devmodules/lakepollution/new/index.html Using
Differential Equations to Model Lake
Pollution
http://links.math.rpi.edu/devmodules/masstransport/index.html Mass Transport
Module Differential Equations in
Biomedical and Environmental Engineering
http://www.sosmath.com/diffeq/first/application/newton/newton.html Newton
cooling

4.3 Elementary Mechanics.
http://www.sci.wsu.edu/idea/Hydro/ Model of a hydroplane

4.4 Autonomous Second Order Equations.
http://www.sci.wsu.edu/idea/software.html Phase plane Software
http://www.sosmath.com/diffeq/first/phaseline/phaseline.html
http://www.dartmouth.edu/~rewn/doublepend.html Java applet for double
pendulum
http://www.dartmouth.edu/~rewn/spherepend.html Java applet spherical
pendulum trajectory
http://www.dartmouth.edu/~rewn/swing.html Java applet for pumping a swing

4.5 Applications to Curves.
http://www.sosmath.com/diffeq/first/orthogonal/orthogonal.html Orthogonal
Trajectories


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5. LINEAR SECOND ORDER EQUATIONS.
http://www.sosmath.com/diffeq/second/second.html
http://iq.orst.edu/mathsg/ode/second/secondmap.html Intro to second order
ODE
http://www.dartmouth.edu/~rewn/secDEtext.html Java applet for 2nd order
ODE's.
http://www.dartmouth.edu/~rewn/secDE.html Second-Order DE Java Applet
http://www.dartmouth.edu/~rewn/phaseplot.html Java Phase plot of ODE

5.1 Homogeneous Linear Equations.
http://calclab.math.tamu.edu/docs/math308/2ndorder/3_1-3_5-R3.txt using
Maple V.3 several equations are checked
http://calclab.math.tamu.edu/docs/math308/belmonte/ARTS_R4/3_1-3_5.txt using
Maple V.4 several equations are checked
http://calclab.math.tamu.edu/docs/math308/systems/wronskian.txt Wronskian in
Maple
http://www.sosmath.com/diffeq/second/linear/secondlinear.html Homogeneous
Linear Equations.


5.2 Constant Coefficient Homogeneous Equations.
http://www.math.udel.edu/teaching/course_materials/M302/monk/notes/node26.ht
ml#SECTION00600000000000000000 Homogeneous second order ordinary
differential equations using Maple
http://www.sosmath.com/diffeq/second/homolinear/homolinear.html Homogeneous
Linear Equations
http://www.sosmath.com/diffeq/second/constantcof/constantcof.html Constant
Coefficients

5.3 Nonhomogenous Linear Equations.
http://www.math.udel.edu/teaching/course_materials/M302/monk/notes/node36.ht
ml#SECTION00800000000000000000

Inhomogeneous Linear Problems using Maple
http://www.sosmath.com/diffeq/second/nonhomo/nonhomo.html Nonhomogeneous
Second Order Linear Equations

5.4 The Method of Undetermined Coefficients I.
http://calclab.math.tamu.edu/docs/math308/rahe/undetermined.ps Method of
Undetermined Coefficients Using Maple
http://calclab.math.tamu.edu/docs/math308/2ndorder/kirschner-undet.txt
Method of Undetermined Coefficients Using

Maple
http://www.sosmath.com/diffeq/second/guessing/guessing.html Method of
Undetermined Coefficient or Guessing Method

5.5 The Method of Undetermined Coefficients II.
http://calclab.math.tamu.edu/docs/math308/rahe/undetermined.ps Method of
Undetermined Coefficients Using Maple
http://www.math.udel.edu/teaching/course_materials/M302/monk/notes/node37.ht
ml#SECTION00810000000000000000 Method of

Undetermined Coefficients Using Maple

5.6 Reduction of Order.
http://www.sosmath.com/diffeq/second/linearind/linearind.html Linear
Independence and the Wronskian
http://www.sosmath.com/diffeq/second/reduction/reduction.html Reduction of
Order Technique

5.7 Variation of Parameters.
http://calclab.math.tamu.edu/docs/math308/2ndorder/kirschner-vofp.txt
Variation of Parameters Using Maple
http://calclab.math.tamu.edu/docs/math308/2ndorder/vofp.txt Variation of
Parameters Using Maple
http://calclab.math.tamu.edu/docs/math308/2ndorder/mr-vofp.ps Variation of
Parameters Using Maple
http://www.math.udel.edu/teaching/course_materials/M302/monk/notes/node38.ht
ml#SECTION00820000000000000000
Variation of Parameters using Maple
http://www.sosmath.com/diffeq/second/variation/variation.html Method of
Variation of Parameters


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6. APPLICATIONS OF LINEAR SECOND ORDER EQUATIONS.
http://nacphy.physics.orst.edu/ComPhys/DIFFEQ/mydif2/node8.html Harmonic
Oscillator With Viscous Friction
http://nacphy.physics.orst.edu/ComPhys/DIFFEQ/mydif2/node11.html The
Realistic Pendulum
http://www.sci.wsu.edu/idea/Neuron/ Model of Neurons
http://www.sci.wsu.edu/idea/ChemKinetics/ Chemical Kinetics Models
http://www.sci.wsu.edu/idea/OscilChem/ Oscillating Chemical Reactions (Non
linear)
http://www.sci.wsu.edu/idea/Lake/welcome.html Fishing (preditor-prey, non
linear)
http://links.math.rpi.edu/devmodules/cstr/ Continuous Stirred Tank Reactor
(non-linear)
http://links.math.udel.edu/devmodules/benzene/ The objectives of this
module are to teach linear systems of
ordinary differential equations linked to basic principles of batch reactors
with sequential reactions
http://links.math.rpi.edu/devmodules/mechanicalosc/springpend/index.html
Observations of a spring pendulum system,
physical and mathematical modeling of its dynamics, and comparisons between
predicted and actual behavior.
http://www.math.udel.edu/teaching/course_materials/M302/monk/notes/node71.ht
ml#SECTION001220000000000000000 Non
linear preditor-prey in Maple


6.1 Spring Problems I.
http://calclab.math.tamu.edu/docs/math308/applications/kirschner-spring.txt
Spring Problems using Maple
http://calclab.math.tamu.edu/docs/math308/belmonte/ARTS_R4/3_9.txt using
Maple V.4 Spring Problems
http://calclab.math.tamu.edu/docs/math308/qualitative/dk-phaseplane1.txt
Spring Problems Maple V.4 phase plane methods
http://calclab.math.tamu.edu/docs/math308/qualitative/dk-phaseplane2.txt
Spring ProblemsMaple V.4 Phase plane method II
http://nacphy.physics.orst.edu/ComPhys/classical/title.html Simple Harmonic
Motion
http://www.dartmouth.edu/~rewn/springsTwo.html Java applet

6.2 Spring Problems II.
http://calclab.math.tamu.edu/docs/math308/MATLAB-pplane/ Matlab Demo for a
linear system
vibrating spring, pendulum, Predator-Prey, Competing Species, Van der Pol's
Equation, Duffing's Equation.
http://www.sci.wsu.edu/idea/Bungee/ Model of Bungee jumping
http://links.math.rpi.edu/devmodules/mechanicalosc/forcedsm/index.html
Observations of a forced oscillator, physical
and mathematical modeling of its dynamics, and comparisons between predicted
and actual behavior.
http://links.math.rpi.edu/devmodules/mechanicalosc/vibstring/index.html
Interactive simulation of the vibrating
string; comparison with experimental data. Interactive derivation of the
solution of the wave equation for the
vibrating string.
http://www.math.udel.edu/teaching/course_materials/M302/monk/notes/node39.ht
ml#SECTION00830000000000000000 Using
Maple with and without damping and phase angles
http://nacphy.physics.orst.edu/ComPhys/classical/SHM/ SHM with damping
http://nacphy.physics.orst.edu/ComPhys/classical/pert/ Perturbed Harmonic
Oscillator with Variable Damping
http://www.dartmouth.edu/~rewn/springsThreeOne.html Java applet plots one
mass linked by three springs to fixed

points
http://www.dartmouth.edu/~rewn/springsThreeTwo.html Java applet plots two
masses linked in series to two fixed
points

6.3 The RLC Circuit.
http://calclab.math.tamu.edu/docs/math308/belmonte/ARTS_R3/3_9.txt RLC
Circuit using Maple V.3
http://links.math.rpi.edu/devmodules/mechanicalosc/pendlinear/index.html
Observations of a linear pendulums,
physical and mathematical modeling of its dynamics, and comparisons between
predicted and actual behavior.
http://links.math.rpi.edu/devmodules/electromagnetism/Oscillations/index.htm
l This module will help you understand
how a circuit with an inductor and a capacitor undergoes an electromagnetic
oscillation, and how the period and
frequency of an oscillation depend on the inductance and capacitance. You
should also finish with an understanding
of how the energy in a circuit is conserved if there is no resistance.
http://links.math.rpi.edu/devmodules/electromagnetism/ResCap/index.html This
module will help you understand what
electrical current and resistance are, the relationship between voltage,
current, and resistance. You will also be
able to calculate these quantities for resistors in a circuit, the
resistance of a network of resistors, and the
resistance of a resistor given its size and shape and the resistivity of its
material.
http://jever.phys.ualberta.ca/~gingrich/phys395/notes/node28.html#SECTION003
2400 RC Circuit

6.4 Motion Under a Central Force.
http://dept.physics.upenn.edu/courses/gladney/mathphys/java/sect5/section5_1
.html Fields of Force I
http://dept.physics.upenn.edu/courses/gladney/mathphys/java/sect5/subsection
5_1_1.html Fields of Force II
http://dept.physics.upenn.edu/courses/gladney/mathphys/java/sect5/subsubsect
ion5_1_1_1.html Fields of Force III
http://www.dartmouth.edu/~rewn/twoBody.html Java Applet plots orbits for the
2-dimensional system of
2nd-order equations for a body orbiting a fixed sun.

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7. SERIES SOLUTIONS OF LINEAR SECOND ORDER EQUATIONS.
http://calclab.math.tamu.edu/docs/math308/tutorials.html#series Using Maple
http://calclab.math.tamu.edu/docs/math308/topics.html#series Using Maple
http://calclab.math.tamu.edu/docs/math308/rahe/series.ps General postscript
document on Series
http://www.math.udel.edu/teaching/course_materials/M302/monk/notes/node50.ht
ml#SECTION00900000000000000000 using

Maple

7.1 Review of Power Series.
http://calclab.math.tamu.edu/docs/math308/series/series1.txt SERIES
SOLUTIONS Using Maple
http://calclab.math.tamu.edu/docs/math308/series/inf_series_demo.txt SERIES
SOLUTIONS Using Maple
http://www.sosmath.com/diffeq/series/series01/series01.html Series
http://www.sosmath.com/diffeq/series/series02/series02.html Series
Solutions: Taking Derivatives and Index Shifting
http://www.sosmath.com/diffeq/series/series03/series03.html Series
Solutions: First Examples

7.2 Series Solutions Near an Ordinary Point I.
http://calclab.math.tamu.edu/docs/math308/series/ab-ordpt1a-R4.txt SERIES
SOLUTIONS Using Maple
http://calclab.math.tamu.edu/docs/math308/series/ab-ordpt1b-R4.txt SERIES
SOLUTIONS Using Maple
http://www.sosmath.com/diffeq/series/series04/series04.html Series
Solutions: Airy's Equation
http://www.sosmath.com/diffeq/series/series05/series05.html The Radius of
Convergence of Series Solutions

7.3 Series Solutions Near an Ordinary Point II.
http://calclab.math.tamu.edu/docs/math308/series/ab-ordpt2-R4.txt SERIES
SOLUTIONS Using Maple
http://www.sosmath.com/diffeq/series/series06/series06.html Series
Solutions: Hermite's Equation


7.4 Regular Singular Points; Euler Equations.
http://calclab.math.tamu.edu/docs/math308/series/ab-sinpt1-R4.txt Regular
Singular Points Using Maple
http://calclab.math.tamu.edu/docs/math308/series/ab-sinpt2-R4.txt Regular
Singular Points Using Maple
http://calclab.math.tamu.edu/docs/math308/series/ab-euler-R4.txt Regular
Singular Points Using Maple
http://www.sosmath.com/diffeq/second/euler/euler.html Euler-Cauchy Equations

7.6 The Method of Frobenius II.

7.7 The Method of Frobenius III.
http://calclab.math.tamu.edu/docs/math308/series/legendre.txt DEs are
solved via series. Legendre polynomials are
introduced using Maple

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8. LAPLACE TRANSFORMS.
http://calclab.math.tamu.edu/docs/math308/tutorials.html#laplace LAPLACE
TRANSFORMS Using Maple
http://www.math.udel.edu/teaching/course_materials/M302/monk/notes/node53.ht
ml#SECTION001000000000000000000 LAPLACE

TRANSFORMS using Maple
http://www.ma.iup.edu/projects/CalcDEMma/laplace/laplace.html Laplace
Transforms
http://iq.orst.edu/mathsg/ode/laplace/laplacemap.html LAPLACE TRANSFORMS

8.1 Introduction to the Laplace Transform.
http://www.math.udel.edu/teaching/course_materials/M302/monk/notes/node54.ht
ml#SECTION001010000000000000000 LAPLACE

TRANSFORMS using Maple
http://www.sosmath.com/diffeq/laplace/basic/basic.html Mathematica: Laplace
Transforms and Differential Equations
http://www.ma.iup.edu/projects/CalcDEMma/laplace/laplace1.html LAPLACE
TRANSFORMS Mathematica Examples
http://iq.orst.edu/mathsg/ode/laplace/intro/intro.html Introduction to the
Laplace Transform Method
http://iq.orst.edu/mathsg/ode/laplace/lt/lt.html The Laplace Transform of a
Function

8.2 The Inverse Laplace Transform.
http://www.math.udel.edu/teaching/course_materials/M302/monk/notes/node55.ht
ml#SECTION001020000000000000000 Inverse

Laplace Transform using Maple
http://www.sosmath.com/diffeq/laplace/application/application.html
Application to Differential Equations
http://www.sosmath.com/diffeq/laplace/table/table.html TABLE of Laplace
Transforms
http://www.ma.iup.edu/projects/CalcDEMma/laplace/laplace1.html Mathematica
Inverse Laplace Transform Examples
http://iq.orst.edu/mathsg/ode/laplace/inverse/inverse.html The Inverse
Laplace Transform
http://iq.orst.edu/mathsg/ode/laplace/pf/pf.html The Method of Partial
Fractions

8.3 Solution of the Initial Value Problems.
http://www.math.udel.edu/teaching/course_materials/M302/monk/notes/node56.ht
ml#SECTION001030000000000000000 IVP

using Maple
http://www.sosmath.com/diffeq/laplace/application/application.html
Application to Differential Equations
http://www.ma.iup.edu/projects/CalcDEMma/laplace/laplace4.html Mathematica:
Solving Constant Coefficient

Differential Equations (Initial Value Problems)
http://iq.orst.edu/mathsg/ode/laplace/solve/solve.html Solving Linear ODE
Using Laplace Transforms

8.4 The Unit Step Function.
http://www.math.udel.edu/teaching/course_materials/M302/monk/notes/node57.ht
ml#SECTION001040000000000000000 Unit

Step Using Maple
http://calclab.math.tamu.edu/docs/math308/barrow/lab5/lab5.html Laplace
Transform and Square Waves

8.5 Constant Coefficient Equations with Piecewise Continuous Forcing
Functions.
http://www.ma.iup.edu/projects/CalcDEMma/laplace/laplace7.html Mathematica:
Solving Constant Coefficient Initial
Value Problems with Special Forcing Functions

8.6 Convolution.
http://www.sosmath.com/diffeq/laplace/convolution/convolution.html
Convolution
8.7 Constant Coefficient Equations with Impulses.
http://www.sosmath.com/diffeq/laplace/dirac/dirac.html Impulse Functions:
Dirac Function
http://www.ma.iup.edu/projects/CalcDEMma/laplace/laplace12.html Mathematica:
Solving Initial Value Problems with
Polynomial Coefficients

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9. LINEAR HIGHER ORDER EQUATIONS.
http://calclab.math.tamu.edu/docs/math308/2ndorder/3_7-4_4b-R3.txt General
solution of Higher order equations using
Maple V.3
http://calclab.math.tamu.edu/docs/math308/belmonte/ARTS_R4/3_7-4_4b-R4.txt
General solution of Higher order
equations using Maple V.4
http://www.sosmath.com/diffeq/system/nonlinear/nonlinear.html Nonlinear
systems

9.1 Introduction to Linear Higher Order Equations.
http://www.sosmath.com/diffeq/higher/basic/basic.html Higher Order Linear
Equations: Introduction and Basic Results

9.2 Higher Order Constant Coefficient Homogeneous Equations.
http://www.sosmath.com/diffeq/higher/homogeneous/homogeneous.html
Homogeneous Linear Equations With Constant

Coefficients

9.3 Undetermined Coefficients for Higher Order Equations.
http://www.sosmath.com/diffeq/higher/nonhomo/nonhomo.html Nonhomogeneous
Linear Equations
http://www.sosmath.com/diffeq/higher/guessing/guessing.html Method of
Undetermined Coefficients or Guessing Method

9.4 Variation of Parameters for Higher Order Equations.
http://calclab.math.tamu.edu/docs/math308/2ndorder/3_7-4_4b-R3.txt Maple
using Variation of Parameters
http://calclab.math.tamu.edu/docs/math308/belmonte/ARTS_R4/3_7-4_4b-R4.txt
General solution of Higher order

equations using Maple V.4
http://www.sosmath.com/diffeq/higher/variation/variation.html Method of
Variation of Parameters


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10. LINEAR SYSTEMS OF DIFFERENTIAL EQUATIONS.
http://www.sosmath.com/diffeq/system/system.html Introduction
http://www.sosmath.com/diffeq/system/secondeq/secondeq.html General systems
http://calclab.math.tamu.edu/docs/maple/vec-calc.html Maple Package:
vec_calc Needed for all calclab Maple links
related to matrices.

10.1 Introduction to Systems of Differential Equations.
http://calclab.math.tamu.edu/docs/math308/systems/dh-lin-alg1.txt Linear
algrbra review
http://calclab.math.tamu.edu/docs/math308/systems/da-matrices.txt Matrices
in Maple
http://www.math.udel.edu/teaching/course_materials/M302/monk/notes/node59.ht
ml#SECTION001100000000000000000 First Order Linear Systems (Uses Maple)
http://www.dartmouth.edu/~rewn/twoDimSys.html Java applet makes phaseplots
for initial-value problems of the form y''=f(t,y,y'), y(t0)=y0, y'(t0)=z0.

10.2 Linear Systems of Differential Equations.
http://www.sosmath.com/diffeq/system/linear/basicdef/basicdef.html Linear
Systems
http://www.sosmath.com/diffeq/system/linear/graphical/graphical.html Vector
Representations of Solutions

10.3 Basic Theory of Homogenous Linear Systems.
http://www.sosmath.com/diffeq/system/introduction/intro.html Introduction
and Motivation

10.4 Constant Coefficient Homogeneous Systems I.
http://www.sosmath.com/diffeq/system/linear/eigenvalue/eigenvalue.html
Eigenvalues and Eigenvectors Technique
http://www.sosmath.com/diffeq/system/linear/eigenvalue/real/real.html Real
Eigenvalues
http://www.sosmath.com/diffeq/system/linear/eigenvalue/repeated/repeated.htm
l Repeated Eigenvalues
http://www.sosmath.com/diffeq/system/linear/eigenvalue/complex/complex.html
Complex Eigenvalues
http://www.sosmath.com/diffeq/system/linear/eigenvalue/zero/zero.html Zero
Eigenvalues
http://calclab.math.tamu.edu/docs/math308/belmonte/ARTS_R4/7_4-7_5.txt in
Maple systems of first order equations
http://calclab.math.tamu.edu/docs/math308/belmonte/ARTS_R4/7_6.txt Maple
with complex eigenvalues in matrix
associated with linear system.
http://calclab.math.tamu.edu/docs/math308/belmonte/ARTS_R4/7_7.txt Maple:
repeated eigenvalues in
# matrix associated with linear system.
http://www.math.udel.edu/teaching/course_materials/M302/monk/notes/node63.ht
ml#SECTION001130000000000000000
Systems with Complex Characteristic Roots
http://www.math.udel.edu/teaching/course_materials/M302/monk/notes/node64.ht
ml#SECTION001140000000000000000 Systems
with Repeated Characteristic Roots

10.5 Constant Coefficient Homogenous Systems II.

10.6 Constant Coefficient Homogenous Systems III.
http://calclab.math.tamu.edu/docs/math308/topics.html#systems-applic
Applicatons of systems using Maple
http://www.sosmath.com/diffeq/system/linear/qualin/qualin.html Qualitative
Analysis of Linear Systems
http://www.sosmath.com/diffeq/system/nonlinear/linearization/linearization.h
tml Equilibrium Point Analysis:
Linearization Technique
http://calclab.math.tamu.edu/docs/math308/belmonte/ARTS_R4/7_8.txt Maple:
Fundamental matrices for systems of ODEs
are introduced and used to solve linear systems.

10.7 Variation of Parameters for Nonhomogenous Linear Systems.
See section 5.7