1
Thu. Sep. 7, 2006
ATMS 502
Jewett
Homework #1 – due in class Thursday, Sep. 21, 2006
•
As noted in class, you may work with others on this assignment,
but
what you hand in must
be your own work. No copying allowed!
1.
Characterize the LotkaVolterra solutions we looked at early in the class.
What went wrong with our approach  what kind of errors were
apparent? From the limited evidence given to you, do you believe the
method would converge to the correct solution? Why?
2.
Describe the difference between initial and boundary value problems.
What is the chief computational concern for initial value problems?
3.
Consider the equation below:
"
2
u
x
2
+
3
xy
2
u
x
y
#
2
x
2
u
2
u
y
2
=
12
y
a)
Is this differential equation linear? Why or why not?
b)
What is the order of this differential equation? _______
4.
Is the following equation hyperbolic, parabolic or elliptical?
u
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 Fall '09
 JEWETT
 Derivative, Boundary value problem, 1D advection equation, differential equation linear

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