M251final(sp08) - MATH 251 FINAL EXAMINATION May 7, 2008...

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Unformatted text preview: MATH 251 FINAL EXAMINATION May 7, 2008 Name: Student Number: Section: This exam has 13 questions for a total of 150 points. 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 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: 3: 4: 5: 6: 7: 8: 9: 10: 11: 12: 13: Total: Do not write in this box. MATH 251 FINAL EXAMINATION May 7, 2008 1. (6 points) The autonomous differential equation y = y 2- 16 has two equilibrium solutions that are (a) asymptotically stable at y =- 4, and unstable at y = 4. (b) unstable at y =- 4, and asymptotically stable at y = 4. (c) asymptotically stable at both y =- 4 and y = 4. (d) unstable at both y =- 4 and y = 4. 2. (6 points) Which equation below has the function y = 3 e 2 t as one of its solutions? (a) y 00- 9 y = 0 (b) y 00 + 2 y = 0 (c) y 00- 4 y + 4 y = 0 (d) y 00 + 4 y + 6 y = 0 Page 2 of 11 MATH 251 FINAL EXAMINATION May 7, 2008 3. (6 points) A mass-spring system is described by the equation 4...
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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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M251final(sp08) - MATH 251 FINAL EXAMINATION May 7, 2008...

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