M251ex1(fa07) - MATH 251 Examination I October 4, 2007...

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MATH 251 Examination I October 4, 2007 Name: Student Number: Section: This exam has 12 questions for a total of 100 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: Total: Do not write in this box.
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MATH 251 EXAMINATION I October 4, 2007 1. (5 points) Which function below is the integrating factor μ ( t ) that could be used to solve the Frst order linear di±erential equation t 2 y - 4 ty = 0? (a) t 4 (b) e 2 t 2 (c) 1 t 4 (d) e 4 t 2. (5 points) Consider the Frst order di±erential equation y = - t 3 . Which statement below is false ? (a) The equation is linear. (b) The equation is separable. (c) The equation is exact. (d) The equation is autonomous. Page 2 of 10
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MATH 251 EXAMINATION I October 4, 2007 3. (5 points) Consider the initial value problem ( t + 5) y ′′ + t + 2 t - π y + ln(
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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(fa07) - MATH 251 Examination I October 4, 2007...

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