# M251ex1(fa01) - MATH 251 Midterm Exam I Sept. 25, 2001...

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MATH 251 Midterm Exam I Sept. 25, 2001 Name: Student Number: Instructor: 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: Do not write in the box to the left

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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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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.

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M251ex1(fa01) - MATH 251 Midterm Exam I Sept. 25, 2001...

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