MATH 256 Study Guide - Midterm Guide: Heat Equation, Fourier Series

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9 Jan 2019
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Be sure this exam has 10 pages including the cover. Write your answer in the blank page provided. Page 2 of 10: each candidate should be prepared to produce his library/ams card upon request, read and observe the following rules: No candidate shall be permitted to enter the examination room after the expiration of one half hour, or to leave during the rst half hour of the examination. Candidates are not permitted to ask questions of the invigilators, except in cases of supposed errors or ambiguities in examination questions. The plea of accident or forgetfulness shall not be received: smoking is not permitted during examinations. Solve the following ordinary di erential equation dy dx y2 + 2xy x2 y(1) = 1. Find the critical points of the following population model and classify the stability/instability of these critical points. dy dx. Use whatever method to solve the following second order di erential equation y.