APPM 2360 Midterm: appm2360spring2013exam1
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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. Suppose that where y0 is a real constant. dy dt. = (t 1)p|y|, y(0) = y0 (a) [5] consider y0 = 1. What does picard"s theorem allow you to conclude about the existence and/or uniqueness of a solution? (b) [5] consider y0 = 0. What does picard"s theorem allow you to conclude about the existence and/or uniqueness of a solution? (c) [5] let y0 = 4. A large cooler initially contains 20l of a water and powdered tang mixture with a concentration of 2g/l. Thinking that the drink needs to be stronger, you pour in a mixture of water and tang with a concentration of 10g/l at a rate of 4l/min. You drain the cooler at a rate of 2l/min.
