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M251final(sp04) - Name MATH 251 Final Exam May 7 2004 This...

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MATH 251 Final Exam May 7, 2004 Name: Student Number: Instructor: Section: This exam has 12 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 USE OF CALCULATORS IS NOT PERMITTED IN THIS EXAMINATION. The last page of this examination contains a table of Laplace transforms for your use. Do not write in this box. 1: 2: 3: 4: 5: 6: 7: 8: 9: 10: 11: 12: Total:
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MATH 251 Spring 2004 Final Exam 1. (12 points) Circle the correct answer to each of the following statements: (a) (2 points) True or False: The autonomous equation y 0 = y 3 + y has exactly one real equi- librium solution. (b) (2 points) True or False: For nonzero constants a , b , and c , the initial value problem ay 00 + by 0 + cy = 0 , y (0) = 1 , y 0 (0) = 1, always has a unique solution. (c) (2 points) True or False: For nonzero constants a , b , and c , the boundary value problem ay 00 + by 0 + cy = 0 , y (0) = 1 , y (5) = 1, always has a unique solution.
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