ORDINARY DIFFERENTIAL EQUATIONS POWERTOOL
Lesson 0 -- Table of Contents
Industrial Mathematics Institute
Columbia, SC 29208
URL: http://www.math.sc.edu/~meade/
Copyright © 2001 by Douglas B. Meade
All rights reserved
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Table of Contents
Unit 2 --- Analytic Solution of First-Order Differential Equations
Lesson 02 --- Separable Equations
Lesson 03 --- Application: Exponential and Logistic Growth
Lesson 04 --- First-Order Linear Equations
Lesson 05 --- Application: Mixing Problems
Lesson 07 --- Application: The Spruce Budworm
Lesson 09 --- Application: Orthogonal Trajectories
Lesson 10 --- Substitution and Change of Variables
Lesson 11 --- First-Order Linear Systems
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Unit 3 --- Graphical Solution of Initial Value Problems (IVPs)
Lesson 13 --- Direction Fields and Phase Portraits
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Unit 4 --- Numerical Methods for Initial Value Problems
Lesson 15 --- Improved Euler's Method
Lesson 16 --- Runge-Kutta Method
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Unit 6 --- Analytic Solutions for Higher-Order Differential Equations and Systems
Lesson 19 --- Application: Rocket Flight
Lesson 20 --- Application: Parachute Problem
Lesson 21 --- Nonlinear Equations
Lesson 22 --- Application: Suspended Wire
Lesson 23 --- Application: Chemical Reactions
Lesson 24 --- Application: Population Models
Lesson 25 --- Application: Predator-Prey Models
Lesson 26 --- Application: Competition Models
Lesson 27 --- Linear Equations
Lesson 28 --- Application: Unforced Spring-Mass Oscillators
Lesson 29 --- Application: Electric Circuits
Lesson 30 --- Application: Nonlinear Springs
Lesson 31 --- Power Series Solutions
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