Math 306 – Test 3
Printed Name:
Please carefully work all of the following problem(s). You must SHOW YOUR WORK to receive ANY credit!
The Printed Name question is worth 5 points.
•
H
indicates a “By Hand” problem where technology is
not
allowed.
•
T
indicates a “Technology” problem where you
aaaa
may use
Mathematica or a calculator. You must still
show the steps taken. For example,
i
5
1
(1

x
)
7
dx
=

8
,
192
is valid. Giving the answer

8
,
192
without
the integral is not.
•
Do not use
DSolve
or
NDSolve
unless otherwise directed (except for checking your work).
H
1
10
pts
Use the defnition oF the Laplace TransForm (not the tables!) to compute
L
{
t
}
.
H
2
20
pts
[2]
Compute by hand (using reasonable means – tables, Formulas)
L
{
3
e
2
t
+ 2 sin
2
(5
t
)
}
.
Dr. Emmert Spring 2010
I oF III
Points Earned
oF 30
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View Full DocumentMath 306 – Test 3
H
3
Consider the IVP
x
′′
+
ω
2
0
x
=
F
0
cos(
ω
0
t
),
x
(0) = 0 =
x
′
(0) which models a massspring system that is
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 Spring '11
 KeithEmmert
 Math, Constant of integration, PierreSimon Laplace, Dr. Emmert Spring

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