AMath 250ASSIGNMENT 3Fall 2008Submit all problems by Noon onTuesday, September 30thin the drop boxes across fromMC4066.All solutions must beclearly statedandfully justified.Comment: The Coffee Problem requires some thought, so start thinking about it early. Youwill probably find this assignment longer and more difficult than usual.From Problem Set 1 in the Course Notes:From Problem Set 1 in the Course Notes:# 4(iv)# 5# 6 (ii),(iv),(vi),(vii)Hint for (vii): the method of undetermined coefficientsdoesapply; itmay take a couple of tries to guess the right trial function.# 8(a)# 9 Note: (a) and (b) have been done in class for the casev(0) = 0.Hint for (d): Use thechain rule:dvdt=dvdydydt.# 16Hint: Use your result from problem 9c) withv0= 0. Note that you don’t need to findthe actual value ofα. You will get one equation with one unknown, but this does notnecessarily imply that there is a solution. For example, the equationα2+ 1 = 0doesnot have a (real) solution.
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