ODEs, MA2051

Joseph D. Fehribach, B Term, 1995

First Half Course Summary: First Order ODEs

  1. Modeling
    1. Population Models
      1. Simplest Model:
      2. Emigration Model:
      3. Predator-Prey Model (a system, not a single equation)
    2. Heat-Loss Models

  2. Solution Methods
    1. Separation of Variables
    2. Variation of Parameters
    3. Integrating Factors
    4. Numerical Solutions: Euler's Method
    5. Method of Characteristics
    6. Undetermined Coefficients

  3. Classification, Terminology
    1. porportional to
    2. linear, homogeneous, principle of superposition
    3. homogeneous solution, particular solution, general solution
    4. direction fields, graphics
    5. equilibria, time constants, transients

  4. Major Theorems
    1. General Solutions for Linear, First Order Equations
    2. Existence and Uniqueness


Joseph D. Fehribach (bach@wpi.edu)
Tue Nov 14 06:40:24 EST 1995