Math 224-01: Differential Equations: Reading Homework 2.2

  1. Extension and Long-Term Behavior : how might we try and determine the length of the interval a solution is defined on? what else might we be interested in seeing about the solution curves?
    1. Existence : what is an extension of a solution to an ODE?
      1. maximal extension : how far are we guaranteed to be able to extend a solution?
      2. death of a solution : when may a solution ``die''? what is the characteristic of a direction field there?
      3. escape time : what is a finite escape time?
    2. Sign analysis, State lines : can a non-autonomous ODE have an equilibrium solution? what is the translation property of autonomous ODEs?
      1. sign analysis : what is sign analysis?
      2. state lines : what is a state line?
      3. steady states : what is a steady state solution? how is it different from an equilibrium solution?

Math 224-01: Differential Equations: Reading Homework 2.2
Last Modified: Sun Feb 7 20:39:42 1999
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