# M251final(fa03) - MATH 251 Fall 2003 Final Exam December...

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MATH 251 Fall 2003 Final Exam December 15, 2003 NAME : ID : INSTRUCTOR : There are 14 questions on 13 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: 11: 12: 13: 14: Total:

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1. (6 points) What is the inverse Laplace transform of F ( s ) = 4 e - 2 s s 2 + 4 . (a) u 2 ( t ) sin(2 t - 2) (b) 2 u 2 ( t ) sin(2 t - 4) (c) 4 sin(2 t - 4) (d) 2 u 3 ( t ) sin(2 t - 2) 2. (6 points) Consider the following ordinary differential equation. Choose the wrong statement from the choices below. dy dt = y 3 - 6 y. (a) Equilibrium solutions are y = 0 , 6 , - 6 . (b) If
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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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M251final(fa03) - MATH 251 Fall 2003 Final Exam December...

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