Diﬀerential EquationsMid Term Examination - IMTH 22012/15/2005Duartion: 1 hourMax. Credit: 30 pointsAnswer all the questions. No credit will be given if only the answer is writtenwithout showing the relevant supporting work. Write legibly. The numbers at theend of each question indicate the maximum credit for the corresponding question.1. Obtain an explicit solution of the diﬀerential equationdXdt=(2-X)(1-X)governing second-order reactions.2. Consider the diﬀerential equation (x+ 2) sinydx+xcosydy=0.(i) Verify if this DE is exact or not.(ii) Find a functionμthat is a solution of the DExμ±=(
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This note was uploaded on 02/11/2012 for the course MTH 2201 taught by Professor Kigaradze during the Spring '08 term at FIT.