4. Fields & Flows
Home Up Quick Reference M-files Laser Printing 1. Matlab Basics 2. Sequences & Series 3. Taylor Series 4. Fields & Flows 5. ODE Models 6. Symbolic ODE 7. Systems & 2nd order 8. Numerical ODE 9. Laplace Transform

[ObjectivesExercises]

OBJECTIVES
Use 'dfield' to make direction fields and investigate first order ODE's.

EXERCISES
Start by reading pages 9 -- 24 in Polking and Arnold learn how to use 'dfield5.'

Problems from Polking an Arnold's Book

  1. Problem 2. on p. 24.        % y'=2ty/(1+y^2)
  2. Problem 3. on p. 24.        % y'=y(2+y)(2-y)
  3. Problem 5. on p. 24         % x' = 1-t^2+sin(tx)

Remark: There is no easy way to copy and paste a dfield5 plot into a word document. So for this assignment you should just print out your 5 plots and hand them in after putting your name and section number on them. 

Hint: It is possible to print more than one graph on a page. This is done using the command:

>> multigraf

Give it a try if you want. It is fairly self explanatory. 

[Objectives | Exercises]

 

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Last modified on October 25, 1999 at 01:02 PM.