APPM 2360 Midterm: appm2360spring2014exam1

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31 Jan 2019
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On the front of your bluebook write: (1) your name, (2) your student id number, (3) recitation section, (4) your instructor"s name, and (5) a grading table. Books, class notes, cell phones, and calculators are not permitted. Problem 1: (30 points) consider the following differential equation dy dt (1 y2)1/3. Problem 3: (30 points) answer true or false . L[3y1 + 4y2] = 5f (t). (f) euler"s method for the ivp y = g(y), y(0) = y0 is yn+1 = yn + hg(yn), tn+1 = (n + 1)h. Problem 4: (30 points) long ago, atlantis, a small village of 100 inhabitants was built at the foot of a volcano. 100 years later, the population was 500 inhabitants. Unfortunately, by the time atlantis grew to 12500 inhabitants the volcano erupted, destroying and burying the city. Now, the town was rediscovered during archaeological excavations in the year 2000.