MATH 2552 Midterm: MATH 2552 GT Midterm1

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15 Feb 2019
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Instructor: wenjing liao: test time: 50 minutes, please do not assist another person in the completion of this exam. Please do not copy answers from another student"s exam. Please do not have another student take your exam for you. Please keep your own work covered up as much as possible dur- ing the exam so that others will not be tempted or distracted: no notes, books or calculators are allowed, read each problem carefully. Show all work for full credit: make sure you have 11 pages, including the cover page (page. 1), the page of scores (page 2), and two blank pages (page 10 and 11). Problem 1: (8 points): solve the initial value problem dy dx xy cos(2 + x2) ln y y(0) = 1. Problem 2: (8 points): solve the initial value problem dy dx. Y cos(xy) 2x x cos(xy) + 3y2 , y(0) = 1. No need to write the solution in an explicit form.