M251ex2(su02)

# M251ex2(su02) - MATH 251 Summer 2002 Exam 2 NAME ID...

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MATH 251 Summer 2002 Exam 2 July 17, 2002 NAME : ID : INSTRUCTOR : There are 9 questions on 8 pages. Please read each problem carefully before starting to solve it. For each multiple choice problem 4 answers are given, only one of which is correct. Mark only one choice. For partial credit questions, all work must be shown - credit will not be given for an answer unsupported by work. N O CALCULATORS ARE ALLOWED . P LEASE DO NOT WRITE IN THE BOX BELOW . A TABLE OF L APLACE TRANSFORMS IS ATTACHED . 1: 2: 3: 4: 5: 6: 7: 8: 9: Total:

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1. (6 points) Which of the following systems corresponds to the 2nd order differential equation: 2 y 00 + 4 y 0 + 8 y = 0 (a) ( x 0 1 = x 2 x 0 2 = - 4 x 1 - 2 x 2 (b) ( x 0 1 = 4 x 1 + 2 x 2 x 0 2 = 2 x 1 + 4 x 2 (c) ( x 0 1 = x 2 x 0 2 = 4 x 1 + 2 x 2 (d) ( x 0 1 = - x 2 x 0 2 = - 4 x 1 - 8 x 2 2. (6 points) Find the inverse Laplace transform for s > a of: - 2 s + 1 s 2 - 2 s + 5 (a) - 2 e - t cos(2 t ) (b) - 2 e - t cos(2 t ) + 3 e - t sin(2 t ) (c) -
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M251ex2(su02) - MATH 251 Summer 2002 Exam 2 NAME ID...

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