APPM 2360 Midterm: appm2360summer2016exam1_sol
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Instructions: please show all of your work and make your methods and reasoning clear. Answers out of the blue with no supporting work will receive no credit (unless the directions to a speci c problem say otherwise, of course). Please start each numbered problem on a new page in your bluebook and do the problems in order. Please sign the front of your blue book indicating you read and understood these directions in addition to the cu honor code: (24 points) consider the di erential equation dy dt. = (y 1)(y + 2). (a) find all equilibrium solutions. (b) classify the stability of the equilibrium solutions you found in part (a). (c) find the general solution. = 1 = a(y + 2) + b(y 1) upon multiplying through by (y 1)(y + 2). Now plug in wisely-chosen y-values: y = 2 : y = 1 :
