640:244 Lab 3: The Pendulum
SPRING 2011
This Maple lab is closely based on earlier versions prepared by Professors R. Falk and R. Bumby of the Rutgers Mathematics department. Introduction. In this lab we use Maple to examine dierential equations modeling
differential Equations for engineering and physics
MATH 244

Summer 2013
Lesson 21
NonLinear Systems of Differential Equations  Part II
Autonomous Systems and Stability  9.2
Almost Linear Systems  9.3
MATH 244 Fall 2014
November 19, 2014
(MATH 244 Fall 2014)
Lesson 21
November 19, 2014
1 / 11
NonLinear Systems: Notations
differential Equations for engineering and physics
MATH 244

Summer 2013
Lesson 16
Solving Systems of Differential Equations  Part I
First Order Systems: Distinct Real Eigenvalues  7.5
MATH 244 Fall 2014
November 05, 2014
(MATH 244 Fall 2014)
Lesson 16
November 05, 2014
1/9
Solving Systems of Differential Equations
Solving S
differential Equations for engineering and physics
MATH 244

Summer 2013
Lesson 24
Power Series Methods  Part II
Review of Power Series (ctd)  5.1
Power Series Solutions of Differential Equations  5.2
MATH 244 Fall 2014
December 03, 2014
(MATH 244 Fall 2014)
Lesson 24
December 03, 2014
1/7
Review of Power Series (ctd)
Opera
differential Equations for engineering and physics
MATH 244

Summer 2013
Lesson 22
NonLinear Systems of Differential Equations  Part III
Example: Competing Species  9.4
MATH 244 Fall 2014
November 24, 2014
(MATH 244 Fall 2014)
Lesson 22
November 24, 2014
1/6
Competing Species: NonLinear Systems Model
Competing Species: Int
differential Equations for engineering and physics
MATH 244

Summer 2013
Lesson 20
Solving Systems of Differential Equations  Part III
Repeated Eigenvalues  7.6
NonLinear Systems of Differential Equations  Part I
Phase Plane  9.1
MATH 244 Fall 2014
November 17, 2014
(MATH 244 Fall 2014)
Lesson 20
November 17, 2014
1/8
Rep
differential Equations for engineering and physics
MATH 244

Summer 2013
Lesson 19
Solving Systems of Differential Equations  Part II
First Order Systems: Complex Eigenvalues  7.6
MATH 244 Fall 2014
November 10, 2014
(MATH 244 Fall 2014)
Lesson 19
November 10, 2014
1/7
Complex Eigenvalues and Eigenvectors
Complex Eigenvalues
differential Equations for engineering and physics
MATH 244

Summer 2013
Lesson 25
Power Series Methods  Part III
Power Series Solutions of Differential Equations  5.2
Radius of Convergence of Solutions  5.3
MATH 244 Fall 2014
December 08, 2014
(MATH 244 Fall 2014)
Lesson 25
December 08, 2014
1/5
Power Series Solutions: Exa
differential Equations for engineering and physics
MATH 244

Summer 2013
MATH 244 Spring 2015
Final Exam Study Guide  Answers
(for Dr. Goonetillekes sections)
May 7, 2015
Contents
1 Practice Problems
1.1 First Order Equations . . . . . . . . .
1.2 Second Order Homogeneous Equations
1.3 Higher Order Homogeneous Equations
1.4 N