Lecture Notes for Math 2233, Spring 1999
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Lecture 1: Introduction
Lecture 2: Solutions and Classification
Lecture 3: Graphical Methods
Lecture 4: Numerical Methods
Lecture 5: Taylor Series Methods
Supplement to Homework 1
Lecture 6: First Order ODEs; General Theory
Lecture 7: Separation of Variables
Lecture 8: First Order Linear ODEs
Lecture 9: Constants of Integration and Initial Conditions
Lecture 10: Exact Equations
Lecture 11: Sample Exam 1
Lecture 12: Integrating Factors
Lecture 13: Change of Variable
Lecture 14: Second Order ODEs; General Theory
Lecture 15: Reduction of Order
Lecture 16: Second Order Linear Equations with Constant Coefficients
Lecture 17: Equations with Constant Coefficients cont'd
Lecture 18: Non-homogeneous Equations
Lecture 19: Variation of Parameters
Lecture 20: Euler Equations
Lecture 21: Sample Exam 2
Lecture 22: Higher Order Linear ODEs with Constant Coefficients
Lecture 23: Review of Power Series
Lecture 24: Power Series Solutions
Lecture 25: Power Series Methods cont'd
Lecture 26: Singular Points and Convergence of Series Solutions
Lecture 27: Series Solutions about Singular Points
Lecture 28: The Laplace Transform
Lecture 29: Laplace Transform Techniques
