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Unformatted text preview: MATH 250 Examination II November 2, 2009 Name: Student Number: Section: This exam has 13 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. A table of Laplace transforms is attached as the last page of the exam. You may not use a calculator on this exam. Please turn off and put away your cell phone. 1 thru 9: 10: 11: 12: 13: Total: Do not write in this box. MATH 250 EXAMINATION II November 2, 2009 1. (5 points) Solve the following initial value problem y ′′ + 8 y ′ + 16 y = 0 , y (0) = 1 , y ′ (0) = 1 . (a) e − 4 t + 3 te − 4 t (b) e − 4 t 3 4 te − 4 t (c) e 4 t 5 4 te 4 t (d) e 4 t 5 te 4 t 2. (5 points) Which equation below describes a massspring system undergoing resonance? (a) y ′′ + 9 y = cos 9 t (b) y ′′ + y = 2sin t (c) y ′′ 4 y = sin2 t (d) y ′′ + 2 y ′ + 10 y = 4cos 3 t Page 2 of 10 MATH 250 EXAMINATION II November 2, 2009 3. (5 points) Consider the fourth order linear equation y (4) 16 y = 0 ....
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 '07
 GYRYA,VITALIY
 Math, Equations, Laplace, Boundary value problem

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