M251ex1(su02)

M251ex1(su02) - MATH 251 Summer 2002 Exam 1 NAME ID...

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MATH 251 Summer 2002 Exam 1 June 27, 2002 NAME : ID : INSTRUCTOR : There are 10 questions on 9 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 . 1: 2: 3: 4: 5: 6: 7: 8: 9: 10: Total:
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MATH 251 Summer 2002 -MidTerm Exam 1- 1. (6 points) Which of the following is a linear second order differential equation? (a) y 0 + ty = 1 (b) y 00 = t 2 y + e t (c) ( y 0 ) 2 = ( y + 2)( y - 3) (d) y 00 + 3 y 0 + 2 y = sin y 2. (6 points) The Existence and Uniqueness Theorem guarantees that the solution to ( t 2 - 4) y 0 + 2 ty = 1 t 2 y (1) = 4 is valid on; (a) ( - 2 , 2) (b) (0 , 2) (c) (2 , ) (d) ( -∞ , ) Page 2 of 9
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MATH 251 Summer 2002 -MidTerm Exam 1- 3. (6 points) Which of the following pairs of functions is linearly dependent?
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M251ex1(su02) - MATH 251 Summer 2002 Exam 1 NAME ID...

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