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MATH 251
Midterm Exam I
Sept. 25, 2001
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Student Number:
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Section:
There are
9
partial credit questions.
In order to obtain full credit for these
problems, all work must be shown. Credit will not be given for an answer not
supported by work.
The point value for each question is in parentheses to the right of
the question number.
THE USE OF CALCULATORS IS NOT PERMITTED IN THIS EXAMINA
TION.
1:
2:
3:
4:
5:
6:
7:
8:
9:
Total:
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in the box
to the left
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View Full Document MATH 251 Exam I
1. Give an example of the following:
(a) (4 points) A Frst order, nonlinear, autonomous, ordinary di±erential equation.
(b) (3 points) A second order, linear, homogeneous, ordinary di±erential equation.
Page 2 of 10
MATH 251 Exam I
2. (10 points) Solve explicitly for
y
(
t
) in the following initial value problem
e
t

yy
0
= 0;
y
(0) = 1.
Page 3 of 10
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View Full Document MATH 251 Exam I
3. (10 points) Find the general solution of the following equation: (2
y

xe
xy
)
y
0
= 2+
ye
xy
.
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This note was uploaded on 07/23/2008 for the course MATH 251 taught by Professor Chezhongyuan during the Spring '08 term at Pennsylvania State University, University Park.
 Spring '08
 CHEZHONGYUAN
 Math, Differential Equations, Equations, Partial Differential Equations

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