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ODEs, MA2051

Joseph D. Fehribach, B Term, 1995

First Half Course Summary: First Order ODEs

- Modeling
- Population Models
- Simplest Model:
- Emigration Model:
- Predator-Prey Model (a system, not a single equation)

- Heat-Loss Models

- Solution Methods
- Separation of Variables
- Variation of Parameters
- Integrating Factors
- Numerical Solutions: Euler's Method
- Method of Characteristics
- Undetermined Coefficients

- Classification, Terminology
- porportional to
- linear, homogeneous, principle of superposition
- homogeneous solution, particular solution, general solution
- direction fields, graphics
- equilibria, time constants, transients

- Major Theorems
- General Solutions for Linear, First Order Equations
- Existence and Uniqueness

*Joseph D. Fehribach (bach@wpi.edu)*

Tue Nov 14 06:40:24 EST 1995