Correction
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Problem 4 on Homework 3 due Sept 18, 1996 needs the following change.
Change "formulae in the chapter" to "formulae in the book".
Thus the problem should read:
4. HW 1 asked you to solve the logistic ODE on the computer. Section 2.1 of
the text is mostly about this solution. A good student should be able to
puzzle through most of the problems in this section given sufficient time.
Hand in 2.1.6 with a solution based on the analytic formulae in
^^^^^
the book and with a solution based on numerical integration (using MATLAB
files like from homework 1). Use DFIELD as a check of your solutions.
Tip
^^^
In general when you use MULTIPLE METHODS to solve a given problem
or when you are asked to 'CHECK' your solution or 'COMPARE' solutions,
you should be very clear about exactly what features do or do not
compare or check in what way and why.
You need to communicate to the reader, as if the reader did not know
the subject, what is to be observed about the similarity or difference
in the solutions and what that does or does not indicate in the particular
problem at hand or in general.
Sometimes there are blatent errors that could be caught.
Sometimes there are subtle issues that could be discussed.