Langara College - Department of Mathematics and Statistics

## Internet Resources for Differential Equations

Here we'll content ourselves with just referring to some big collections and leave it to you to search for specific topics
• PWS-Calculus Modules Online (Differential Equations)
• Differential Equations Resource Center
• Electronic Journal of Differential Equations Mirror site
• Ordinary Differential Equations
• Differential Equations and Dynamical Systems
• The Boston University Ordinary Differential Equations Project
• Differential Equations with Maple V.3
• Electronic Textbook
• Eletronic Journal of Differential Equations

• Electronic Monographs
Resources for a Modern Differential Equations Course
Differential Equations
See Web Study Guide for Ordinary Differential Equations from Oregon State University. This site also contains a clickable Roadmap for Solving First-Order ODE.

Also see Differential Equations, from The Interactive Textbook of PFP 96, "an inter-
disciplinary course in chemistry, mathematics and physics." There are several versions of this textbook, from UPenn, one of which is JAVA-enabled. Recommended.

There is a Mathematica lab involving differential equations at Search for Problem Sets.

For material related to differential equations and their representation using Mathematica, Maple, and the TI-92 calculator, see The Language of Differential Equations, from The Connected Curriculum Project.

See Separable Equations, and Homogeneous Equations, both from the S.O.S. Mathematics Site. Also see Separable First-Order ODE, and Homogeneous First-Order ODE, from OSU's Web Study Guide for Ordinary Differential Equations.

First Order Linear Equations.
Linear First-Order Differential Equations, from Oregon State University.

See Some Applications for examples involving differential equations : Radioactive Decay and Newton's Law of Cooling.
Damped Harmonic Motion (mass on spring)

http://www.math.utep.edu/sosmath/diffeq/diffeq.html
and its following pages  - reviewed by Tony Wang

http://mac205.sjdccd.cc.ca.us/ODE/ODE-h.html
also reviewed by Tony Wang

### Differential Equations

The Method of Separation of Variables
Mass on Spring

Calculus: Difference Equations to Differential Equations

## Differential Equations

### Catalogues

Differential Equations@langara
Resources for Differential Equations @Archives.utk
Differential Equations Resources @pwsBrooksCole
Search for Problem Sets
Electronic Monographs
Eletronic Journal of Differential Equations

### Differential Equation Courses and Programmes

ubcMath 256
S.O.S. Math - Differential Equations
http://www.math.utep.edu/sosmath/diffeq/diffeq.html
Differential Equations(inM&PcourseJversion@uPenn)
Differential Equations(in the M&Pcourse@uPenn)
Differential Equations with Maple V.3
Differential Equations@PWS.brookscole
The Language of Differential Equations
Web Study Guide for ode's @OregonState
Differential Equations and Dynamical Systems
Electronic DE&Labs Textbook
http://mac205.sjdccd.cc.ca.us/ODE/ODE-h.html
DE notes by pMonk@uDel
PWS-Calculus Modules Online (Differential Equations)
The Boston University Ordinary Differential Equations Project
Edwards/Penney Differential Equations Website(@prenhall)
MultivarCalc, LinAlg, & DiffEq(inCCPbyWattenberg@montana)
Resourcesfor a Modern Differential Equations Course
OUC Math 414: The Mathematics of Financial Derivatives
uPenn Math 480: Financial Derivatives

### Individual Topic Items

Introducing a Differential Equation(@ubc)
Calculus Online@ubc: M100Lab 4(diffEq's)

#### Separation of Variables

Separable Equations
Separable First-Order ODE
The Method of Separation of Variables
The Method of Separation of Variables(fromUK)

#### Homogeneous Equations

Homogeneous Equations
Homogeneous First-Order ODE

#### Qualitative Behaviour &Dir'n Fields

Differential Equations: Learn/Slope Fields
Qualitative ideas and direction fields(@ubc)
Calculus Online@ubc: M101Lab 4(qualitativeDE's&budwormExample)
CalculusOnline@ubcM101Lab 4 Solutions

#### Numerical Methods

Euler's Method(@ubc)
Calculus Online@ubc: M100Lab 5(N'sMethod, &Euler's)
Differential Equations: Euler's Method/Learn

#### Linear Systems

First Order Linear Equations
Linear First-Order Differential Equations
Autonomous System (Linear_Part I)@ies
Autonomous System (Linear_Part II)@ies

#### Applications

Modeling Population Growth@uMinn
Discrete Inhibited Population Growth Applet byDanSloughter@furman
The HIV Epidemic in Vancouver's Lower East Side(@ubc)
Damped Harmonic Motion (mass on spring)
Pendulum Phase Plane byDanSloughter@furman
Some Applications
DiffEqApps@rose-hulman
##### DiffEqApplications from bcit
Mechanical Spring System (uses Maple)
The RL circuit in electronics
An Application to Nuclear Medicine
TOP OF
DIFFERENTIAL

EQUATIONS

## Superposition&FourierSeries

SuperpositionPrinciple of Wave
Trig for SquareWave Applet byDanSloughter@furman
Trig for SoundWave Applet byDanSloughter@furman
FourierSynthesis
ZeriusSynthesizer 0.95

Amara's Wavelet Page

You might also check our 'raw list' (of links provided without comment) to see if there are any more examples there that we haven't yet included here.

If you have come across any good web-based materials on differential equations that are not included in the above indexes, please do let us know and we may add them here.