MATH 252 Final: Final Exam 2018
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This list contains only sample problems on material covered since the second midterm. The same instructions apply as for previous lists of sample problems: (8 points. ) Determine whether or not the function y(t) = 6e2t. Et satis es the di erential equation y (t) = 2y(t) + et. Determine whether or not the function y(t) = 3e2t + et satis es the di erential equation y (t) = 2y(t) + et. A chemical reaction in a solution involves combining three molecules of compound a to produce a molecule of compound x. Find all solutions to the di erential equation y (x) = Find the solution y(x) satisfying y(0) = 1. 6 , and for this solution determine limx y(x): (12 points. ) Find all solutions to the di erential equation y (x) = cos(x)[2y(x) 4]2. In the absence of other e ects, the population of lemmings on an island grows at a rate proportional to the existing population.
