Math 427K Exam 2
Name:
UT EID:
Instructions
•
Please put your name and UT EID in the space provided.
•
There are 6 questions each worth 10 points.
•
You have 75 minutes to complete the test.
•
Please write your working and solutions on the test paper. You may use the
back of the pages.
•
Calculators are not allowed.
Method of Undetermined Coefficients Table
g
(
t
)
Y
(
t
)
P
n
(
t
) =
a
n
t
n
+
a
n

1
t
n

1
+
· · ·
+
a
0
t
s
(
A
n
t
n
+
A
n

1
t
n

1
+
· · ·
+
A
0
)
P
n
(
t
)
e
αt
t
s
(
A
n
t
n
+
A
n

1
t
n

1
+
· · ·
+
A
0
)
e
αt
P
n
(
t
)
e
αt
sin(
βt
)
cos(
βt
)
t
s
(
A
n
t
n
+
A
n

1
t
n

1
+
· · ·
+
A
0
)
e
αt
cos(
βt
)
+ (
B
n
t
n
+
B
n

1
t
n

1
+
· · ·
+
B
0
)
e
αt
sin(
βt
)
For Instructor’s Use
Question 1
Question 2
Question 3
Question 4
Question 5
Question 6
Total
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M427K
Exam 2
March 30, 2006
Question 1
1. [3 Points] Find the general solutions of the homogeneous second order constant
coefficient ordinary differential equation
y
(
x
) +
y
(
x
)

6
y
(
x
) = 0
2. [3 Points] Find the general solutions of the homogeneous second order constant
coefficient ordinary differential equation
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 Spring '07
 Windsor
 Math, Calculus, Partial differential equation, 75 minutes, 427K

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