MATH 257 Study Guide - Midterm Guide: Thermal Conduction, Boundary Value Problem, Heat Equation

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9 Jan 2019

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Be sure that this examination has 5 questions and 17 pages including this cover. Students are not allowed to bring any notes into the exam. Rules governing examinations: each candidate should be prepared to produce his/her 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. 100: consider the differential equation (a) classify the points 0 x < as ordinary points, regular singular points, or irregular singular points. 6x2y00 xy0 + 2(1 + x)y = 0 (1) (b) Find two values of r such that there are solutions of the form y(x) = anxn+r.