Homework section 5.2, pp. 263--, Parts b of #1-4, 11, 12 (due Friday, 12/11)
Section 5.1 homework returned
Two different approaches to showing Lipschitz
Well-posedness using theorem 5.6 requires
continuity
Good to consider the absolute value in the logs, those who
did: I neglected to
discuss it in the example I did in class (partly to
avoid details on the way to the main result), but it's
best to handle it. The "branch" chosen often depends on
the initial condition (e.g. whether it's negative or
positive).
There will be one more quiz, Wednesday, over 5.2.
I'll give you a short, straight-forward take-home
portion of the final on Wednesday (covering only chapter 5): it
will probably entail reproduction of tables from each of 5.3
and 5.4.
It's time for course evaluations. Please take the time to visit
eval.nku.edu, and
give me your feedback. Thanks!
As noted, we've solved a difference equation for
an approximation to y on a set of mesh points
ti. In the end, we may very well want a continous
approximation. How should one proceed?
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