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M254-sampleexam1-1

# M254-sampleexam1-1 - Math 254-Sample Exam Exam 1 Partial...

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Math 254-Sample Exam Exam # 1 Partial credit is possible, but you must show all work. Name: I hereby testify that this is individual work. Signed: Question Points Total 1 20 2 20 3 20 4 20 5 20 Total 100

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2 The following topics are covered by Exam 1. These are materials from the beginning through Section 3.5, as described in the syllabus: First order DFQs, homogeneous equations, linear equations, phase/space/direction fields, separation of variables, variation of parameters, exact equations, multiplier method, integrating factor method, population models, heating and cooling, Newtonian mechanics, and electrical circuits.
3 1. A student carrying the flu virus returns to an isolated college campus of 2000 students. Assuming that the rate at which the virus spreads is proportional to the number of students infected as well as to the number of students not infected, the model of the spread is given by dP dt = kP (2000 - P ) , where t is measured in days, and P is measured in number of students infected. Note that P (0) = 1 (a) Solve the di ff erential equation. Make sure to identify the value of the

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M254-sampleexam1-1 - Math 254-Sample Exam Exam 1 Partial...

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