APPM 2360 Midterm: appm2360spring2018exam1
Document Summary
On the front of your bluebook write: (1) your name, (2) your instructor"s name, (3) your recitation section number and (4) a grading table. Text books, class notes, cell phones and calculators are not permitted. A letter sized one page crib sheet is allowed. Problem 2: (30 points, 10 points each) short answer for the following problems. No justi ca- tion is needed. (a) y1 = e2t + t and y2 = t are two known solutions to the linear di erential equation y (t) + p(t)y(t) = f (t). Find the function p(t). (b) given the initial value problem y = 2y, y(0) = 1, use euler"s method to create an approx- imation to the solution at t = 1 using a step-size of h = 1. 2 . (c) the number of bacteria in a jar increases at a rate proportional to the population of bacteria in the jar.
