Maple Worksheets for Differential Equations

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** 2009–2010 worksheets are listed in the table **

Acquaint

(A brief introduction to Maple – Chapter 1)

Requisite Integration Skills

( How to integrate with Maple – Chapter 1)

Separable Differential Equations

(Chapter 2)

Direction Fields and Solution Curves

Sketching Solutions

(Chapter 3)

Euler Polygonal Curves

(Chapter 4)

Euler’s Method

(Chapter 4)

Linear Equations

(Chapter 5)

Classification of ODEs & Suggested Solution Methods

(Chapters  2, 5, and 8)

A Salt and Water Mixture Problem

(Chapter 6)

Modeling Abrupt Changes

 (Chapter 7)

Population of Mustangs on a New Mexico Ranch

 (Chapter 7)

Dirac Delta Function

(Chapter 7)

Total Derivatives & Differentials

(Chapter 8)

Linear Second-Order Homogeneous Equations

(Chapter 9)

Nonhomogeneous Equations

Cauchy-Euler Equations

(Chapter 10)

Laplace Transforms of Functions

Method of Laplace Transforms for Solving ODEs

Inverse Laplace Transforms

(Chapters 13 & 14)


* Maple Assignments or Examples *


** Maple Worksheets from Previous Semesters **

Classical Numerical Methods I   (Euler’s Method; Introduction to Heun’s Method / ClassNum.mws)

Classical Numerical Methods II   (Heun’s Method; fourth order Runge-Kutta Method / HeunRK4.mws)


* Past Maple Assignments or Examples *

The following links are broken:

aepeuler.mws

Chapter 4: Problem 8 on page 97

Problem 9 on p. 151  (The population of mustangs on a New Mexico ranch)

Selected Problems (Chapter 7)

Problems 30 & 32 on p.53  ( Separable equations  / separ2.mws)

Problem 5 on p.79  ( Euler, Heun, Runge-Kutta Methods / Prob5p79.mws)

A Compartment Example:  The Bucket Problem  (bucket.mws)

Problem 25 on p. 95  (The Error Function / Prob25p95.mws)

Problem 28 on p. 123  (a logistic equation / Logistic.mws)

Problem 7 on p.68  (Quadratic Drag Model)

Solution of a Second-Order Differential Equation Using Laplace Transform Methods (LaplaceDEans.mws)

UCandASsolns


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