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Math 334 (Ordinary Differential Equations)
Exam 3
RED
March 19  March 23, 2010
Instructions:
•
For questions which require a written answer, show all your work. Full credit will be given
only if the necessary work is shown, justifying your answer.
•
Simplify your answers.
•
Calculators are not allowed. Textbooks are not allowed. Notes are not allowed.
•
Should you have need for more space than is allotted to answer a question, use the bottom of
another page and indicate this fact.
•
Please do not talk about the exam with other students until after the last day to take the
exam.
For Instructor use only.
#
Possible
Earned
MC
40
9
10
10
10
11
10
12
10
13
10
14
10
Total
100
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Table of Laplace Transforms
f
(
t
) =
L

1
{
F
(
s
)
}
F
(
s
) =
L
{
f
(
t
)
}
, G
(
s
) =
L
{
g
(
t
)
}
1
1
/s
e
at
1
/
(
s

a
)
t
n
, n
positive integer
n
!
s
n
+1
t
p
, p >

1
Γ (
p
+ 1)
s
p
+1
sin
at
a
s
2
+
a
2
cos
at
s
s
2
+
a
2
sinh
at
a
s
2

a
2
cosh
at
s
s
2

a
2
e
at
sin
bt
b
(
s

a
)
2
+
b
2
e
at
cos
bt
s

a
(
s

a
)
2
+
b
2
t
n
e
at
, n
positive integer
n
!
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 Fall '08
 DALLON
 Differential Equations, Equations, Laplace

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