MATH 251
Examination I
September 27, 2010
FORM A
Name:
Student Number:
Section:
This exam has 14 questions for a total of 100 points. Show all you your work!
In order to obtain
full credit for partial credit problems, all work must be shown. Credit will not be given
for an answer not supported by work. For other problems, points might be deducted,
at the sole discretion of the instructor, for an answer not supported by a reasonable
amount of work.
The point value for each question is in parentheses to the right of the question
number.
You may not use a calculator on this exam. Please turn off and put away your
cell phone.
1 :
2
thru
10:
11:
12:
13:
14:
Total:
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EXAMINATION I
September 27, 2010
1. (8 points) Consider the diﬀerential equation
y
0
=
sin
t
y
+
e
y
.
Answer the following questions.
(a) (2 points) Is the equation
linear
?
(b) (2 points) Is the equation
separable
?
(c) (2 points) Is the equation
exact
?
(d) (2 points) Is the equation
autonomous
?
2. (5 points) Which of the equations below is a second order linear diﬀerential equation?
(a)
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 Spring '08
 CHEZHONGYUAN
 Math, Differential Equations, Equations, Partial Differential Equations

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