APPM 2360 Midterm: appm2360summer2017exam3_sol

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31 Jan 2019
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On the front of your bluebook write: (1) your name, (2) your instructor"s name, (3) your recitation section number and (4) a grading table. Text books, class notes, cell phones and calculators are not permitted. A one page (letter sized 1 side only) crib sheet is allowed. Problem 1: (20 points) answer each part of this question with true or false. 72 sin(9t) (d) false, solutions are unbounded for b 0. Problem 2: (20 points) consider the di erential equation (a) find the general associated homogeneous solution to the di erential equation (1). y(3) + 5y + 4y 10y = f (t) (1) Hint: y(t) = et is an associated homogeneous solution to the di erential equation (1). (b) for the following forcing functions, provide the correct guess" for calculating a particular solution via the method of undetermined coe cients.