Math 216–040 Final, 23 April 2002
Name:
(2 points)
Lab section:
(10,11am,2,3pm = 4144)
Prof. Gavin LaRose
page 1 of 4
Please do
not
fill in:
problem:
Name
1
2
3
4
5
6
total pts:
2
24
14
10
22
22
6
score:
For all problems,
SHOW ALL OF YOUR WORK
. While partial credit will be given, partial solutions
that could be obtained directly from a calculator or a guess are worth no points. Continue your work
on the back of the page or extra sheet at the end of the exam if you need additional space.
You do
not need but may use the normal graphing calculator functions of any graphing calculator, but NOT any
differential equations functionality it may have.
If you need to borrow a graphing calculator, ask me.
Note
the existence of a “formula sheet” at the end of the exam.
1. Solve each of the following
a.
xy
0
= 3
y

2
x
,
y
(1) = 2.
(6 points)
b.
yy
0
=
xy
2
+ 2
x
,
y
(0) = 1.
(6 points)
c.
y
000
+ 4
y
0
= 2
x
+ 3
e

x
.
(6 points)
d.
x
0
=
x

4
y
,
y
0
=

2
x
+ 3
y
.
(6 points)
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Math 216–040 Final, 23 April 2002
Name:
Lab section:
(10,11am,2,3pm = 4144)
Prof. Gavin LaRose
page 2 of 4
2. Find or solve each of the following.
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 Fall '02
 gavinlarose
 Math, Capacitance, Prof. Gavin LaRose, Gavin LaRose page

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