APPM 2360 Midterm: archive_appm2360summer2018exam3_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. Textbooks, class notes, cell phones and calculators are not permitted. A one page (letter sized 1 side only) note sheet is allowed. Problem 1: (40 points) answer each part of this question with true or false. Do not write t or f. also, provide a brief one sentence justi cation. (a) the harmonic oscillator modeled by the di erential equation will not experience resonance. (b) a basis for the solution space for the di erential equation. 2 x + 5 x + 3x = e 3t y + 2y + y = 0 has three linearly independent functions. (c) for the forced oscillator m x+b x+kx = f cos( f t), beats occur when the forcing frequency,