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Unformatted text preview: MATH 251 Examination August 14, 2009 Name: Student Number: Section: This exam has 9 questions for a total of 100 points. In order to obtain full credit for partial credit problems, all work must be shown. Credits 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. The last sheet of the booklet can be removed. Be careful to remove only the last page of the examination . 1: 2: 3: 4: 5: 6: 7: 8: 9: Total: Do not write in this box. MATH 251 EXAMINATION August 14, 2009 1. (15 points) Determine a suitable form for Y ( t ) if the method of undetermined coefficients is to be used for each of the following nonhomogeneous equations. DO NOT determine the values of the coefficients. (a) y 00 + 4 y = 3 t cos(2 t ) (c) y 00 6 y + 13 y = te 3 t sin(2 t ) (d) y 00 + 2 y 3 y = 1 + te t Page 2 of 11 MATH 251 EXAMINATION August 14, 2009...
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This note was uploaded on 07/16/2011 for the course MATH 251 taught by Professor Chezhongyuan during the Spring '08 term at Penn State.
 Spring '08
 CHEZHONGYUAN
 Math, Differential Equations, Equations, Partial Differential Equations

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