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{\bf Math 325, Spring 2001}

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{\bf Assignment 2, due February 9}
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Read
Boyce and DiPrima, Sections 4.4, 8.1, 8.3, 8.5, 7.1-7.3 (in that order)
and Differential Equations with Maple, Chapters 4, 5, 7 and 8. 

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Do, but do not turn in, p.\ 229 \#4.

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Do Problem Set C \#2,9,10,14,16 in
 Differential Equations with Maple.  
Also,  add the following part to \#14:

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14 e) Modify the program to implement the 
Runge-Kutta method and repeat parts a) and b)
using the Runge-Kutta Method.
Also use the Runge-Kutta Method with the same step sizes as in a) and
b) on the interval  $0\le x\le 10\/$. 
Compare the plots for the two methods.

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On this assignment (including the Bonus Problems)
 you may work in a group of at most three students.
If you work in a group, the group should turn in 
\textbf{only one} assignment, with  the names of all members of the 
group on it.    

You may discuss the problems with members of other groups, 
but you may not copy any work from another group. 
Copying some work from another group is a violation of the
Honor Code.


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{\bf Bonus Problems, due February 12}
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On each part of \#10, explain mathematically how you know the answer
you obtained from the plot is correct.  (You may turn in any number 
of parts.)  

On \#16, explain 
 how you know (other than by comparison with the exact answer) that
your answer has the desired accuracy.


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{\bf Note:}  Your solution to a bonus problem {\bf must} include
a copy of your Maple solution to the original problem.

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