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MATH 216 SECOND MIDTERM EXAM
March 22, 2010
Please write your name:
Section:
The test contains 8 problems worth 100 points total.
To get the full credit you
have to show your work
.
12
Problem
Points
Score
12
1
2
14
3
12
4
12
5
12
14
6
7
12
Total
100
8
Typeset by
A
M
S
T
E
X
1
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(
12 points
)
1. Problem.
Find the solution
y
(
x
)o
fthed
i±erent
ia
lequat
ion
y
±

4
y
±
+5
y
=8cos
x
that satis²es the initial conditions
y
Name:
(
14 points
)
2. Problem.
The position
x
(
t
)o
famassonaspr
ingimmersedina
viscous Fuid is described by the equation
x
±
+
cx
±
+10
x
=0
,
where
t
is time and
c
is a positive number characterizing the viscosity of the Fuid.
We pull the mass two inches to the right of the equilibrium, hold it there for a
minute, and let it go.
Using the classi±cation of motions as underdamped, critically damped and over
damped, decide for what values of
c
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This note was uploaded on 02/08/2012 for the course MATH 216 taught by Professor Gavinlarose during the Winter '02 term at University of MichiganDearborn.
 Winter '02
 gavinlarose
 Math, Differential Equations, Equations

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