MA 265 Final: EGR_265_6_D_FinalExam_Fall14

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31 Jan 2019
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Egr 265-6d, math tools for engineering problem solving. Find an explicit solution of the initial value problem yy = x cos(x2), y(0) = 1. On a hot summer day you take a stick of butter out of the refrigerator, which is set to 50 f, and put it on your front porch where the temperature is 100 f. There it warms up according to newton"s law of cooling (which also applies to warming problems) and reaches a temperature of 70 f after 10 minutes. Consider the second order di erential equation y + 4y + 4y = cos x + sin x (1) (a) find the general solution of the homogeneous equation corresponding to (1). (b) find the general solution of (1). Problem 4 (10 points + 5 points bonus) A mass of 4 kg stretches an undamped spring by 40 cm.

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