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M251ex1(su03)

# M251ex1(su03) - MATH 251 Summer 2003 Exam 1 July 2 2003...

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MATH 251 Summer 2003 Exam 1 July 2, 2003 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 . 1: 2: 3: 4: 5: 6: 7: 8: 9: Total:

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MATH 251 Summer 2003 -MidTerm Exam 1- 1. (5 points) Which of the following is a second order, linear, homogeneous differential equation? (a) y 00 + y 2 = 0 (b) y 00 + y 0 + 2 y = t ln y (c) ty 00 + y = 0 (d) ( y 0 ) 2 - t 2 y = 1 2. (5 points) Which pair of functions below is linearly independent? (a) e t , - e t (b) sin 3 t , 0 (c) e 2 t , e 2 t +1 (d) e - t , 2 + e - t 3. (5 points) Which equation has y 1 = e - 2 t and y 2 = e 3 t as two solutions? (a) - 2 y 0 + 3 y = 0 (b) y 00 + y 0 - 6 y = 0 (c) - y 00 + y 0 + 6 y = 0 (d) 2 y 00 + 10 y 0 - 12 y = 0 Page 2 of 8
MATH 251 Summer 2003 -MidTerm Exam 1- 4. (15 points) (a) Solve the initial value problem: ty 0 + 2 y = 3 t, y (2) = 5 .

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M251ex1(su03) - MATH 251 Summer 2003 Exam 1 July 2 2003...

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