APPM 2360 Midterm: appm2360summer2016exam2_sol
Document Summary
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: (28 points) consider the system of di erential equations dx dt dy dt. = y(4 2y) xy (a) determine all horizontal and vertical nullclines of this system. (b) determine all equilibrium points of this system. (c) sketch a phase portrait of the system in the rst quadrant only. Include the nullclines and equilibrium points you found in parts (a) and (b). In addition, determine the direction of the vector.
