Math 454 Problem Set #1 Fall 2008 Sect. 1 Due Thursday, 9/4, at the beginning of class. Reminder. You are encouraged to work together on homework problems. How-ever, the ﬁnal write-up must be your own. You will be quizzed on some of these problems, so be sure you can do all the problems without help. Also, unless otherwise stated, all reading assignments are from the text. Read: Ch. 1; Sects. 2.0-2.4. Problems (note that the problems for Ch. 2 begin on p. 36 of the text):- Sect. 2.1 #1, 2- Sect. 2.2 #2, 4, 8, 9, 10, 13- Sect. 2.4 #4, 90 P1. Consider the differential equation ˙ x = sin 2 ( πn x ) + sin 2 ( πx ) , (1) where n is a positive integer. For this problem, we assume that
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positive integer, Sect., general positive integer