Notice that this exam is 15 years old, from my rst semester at FIU! It
was meant to take 25 minutes. A typical 2002 exam would be twice as long,
maybe including an easy proof - for example, something similar to Example
1.15 on page 20 or a theorem announc

MAP 2302
Final Exam
Aug 2, 2013
Prof. S. Hudson
NAME
Show all your work and reasoning for maximum credit. If you continue your work on
the back/etc, leave me a note. Do not use a calculator, book, or any personal paper. If
you need extra paper, ask me, an

MAP 2302
Exam 2 and Key
July 19, 2013
Prof. S. Hudson
Due to computer issues, some wordings below may vary slightly from the actual exam.
1) [10 pts] Given that x, x2 and x4 are all solutions of
x3 y 4x2 y + 8xy 8y = 0
show that they are LI on 0 < x < (in

MAP 2302
Quiz I and Key
July 1, 2013
Prof. S. Hudson
This should take about 20 minutes, with a lecture afterwards.
2
y
1) [40 pts] Solve the I.V.P: xy x 12y = 0, y (0) = 2, y (0) = 1. Hint: the general
2
solution to the DE is c1 e4x + c2 e3x .
2) [30 pts]

MAP 2302
Final Exam
Dec 11, 2002
Prof. S. Hudson
Name
Show all your work and reasoning for maximum credit. If you continue your work
on another page, be sure to leave a note. Do not use a calculator, book, or any personal
paper. You may ask about any ambi

MAP 2302
Exam III + Key
Nov 18, 2002
Prof. S. Hudson
1a) (5 pt) Identify the singular points of the DE and state whether the method of Frobenius
can be applied at those points:
(x3 + x2 )y + (x2 2x)y + 4y = 0
1b) (5 pt) Find and classify the singular poin

MAP 2302
Exam II + Key
Oct 21, 2002
Prof. S. Hudson
1) Given that y = x is a solution of x2 y 4xy + 4y = 0, nd the general solution by
reducing the order.
2) Use the method of UCs to nd a particular solution of the DE: y + 2y + 2y = 10 sin(4x).
Small help

Answers to DE Final Exam, Fall 2002
The average was about 59, which brought the semester average down
to about 68. The lowest scores were on problem 2, and secondly on 1C.
Quite a few of these problems are worked out in the text, and I will just
give you

MAP 2302
Exam I
Sept 25, 2002
Prof. S. Hudson
Name
Show all your work and reasoning for maximum credit. If you continue your work
on another page, be sure to leave a note. Do not use a calculator, book, or any personal
paper. You may ask about any ambiguo

MAP 2302
Exam II
Oct, 1987
Prof. S. Hudson
I have found only a Make Up Exam II from 1987 and a fragment of the main exam.
Most of the problems are not relevant to the 2002 course because we covered slightly
dierent topics at a dierent pace. So, I think yo

MAP 2302
Exam 1 and Key
July 5, 2013
Prof. S. A. Hudson
Note: there were two versions of the exam, A and B. If my name appears to be S.
B. Hudson at the top of your exam (instead of S. A. Hudson), then you had version B.
This key was written mainly for Ex