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Unformatted text preview: MATH 251 Midterm Exam I June 29, 2006 Name: Student Number: Instructor: Section: This exam has 11 questions for a total of 100 points. There are 6 partial credit questions. 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. THE USE OF CALCULATORS IS NOT PERMITTED IN THIS EXAMINATION. At the end of the examination, the booklet will be collected. 1: 2: 3: 4: 5: 6: 7: 8: 9: 10: 11: Total: Do not write in this box. MATH 251 Summer 2006 Exam I 1. (6 points) For each of the differential equations below state its order and whether it is linear or nonlinear. (a) y 000 + t 3 y = e t y (b) y = y ( y + 1) (c) y 2 y 00 y = t 1 2. (5 points) The solution of the initial value problem y = x y , y (0) = 2 , is (a) y = p x 2 + 4 (b) y = p x 2 + 4 (c) y = p 4 x 2 (d) y = p 4 x 2 Page 2 of 10 MATH 251 Summer 2006 Exam I 3. (5 points) All of the following pairs of functions are linearly independent on (...
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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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