MAP 4306 Study Guide - Midterm Guide: Briey, Fourier Series, Non-Commissioned Officer

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6 Feb 2015
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In case this is hard to read: show work: keep di erent exercises separate. Do not try to cram as much as you can onto each page: the use of equal signs connecting non-equal quantities will be penalized. So will the appearance of discon- nected objects on the page. For example: f (x) = ex is a full sentence; it reads f (x) is equal to ex. An ex plopped into the middle of a page is not. Lack of verbs where verbs are required will also be penalized. Your nal score could actually be higher than the points indicate: (40 points) solve by separation of variables: X (1, t) = 0, u(x, 0) = 1 + 3 cos 5 x, We look for all non-zero solutions of the equation and the boundary conditions of the form u(x, t) = x(x)t (t).