Lecture Notes for MATH 221 - ELEM CALCULUS II at Maryland (UMD)

Notes Information

 Material Type: Review Sheet Professor: Staff Class: MATH 221 - ELEM CALCULUS II Subject: Mathematics University: University of Maryland Term: Spring 2006 Keywords: UnauthorizedProvided ThatQuestion SheetIntegratingQualitativeUnauthorized AssistanceHonor PledgeValue ProblemInitial ConditionQualitative Analysis

Sample Document Text

MATH 221, Weigang Zhong Test 1(Sample) 30 June 2006 Directions: SHOW ALL WORK! - answer the questions in the space provided on the question sheet, use the other side of the page if necessary. You may NOT use your calculator in your work. Perfect score: 100 points. The University of Maryland Honor Pledge reads: "I pledge on my honor that I have not given or received any unauthorized assistance on this examination." Please write the exact wording of the Pledge, followed by your signature, in the space below: Pledge: Signature: Name: 1. (5 points) Which, if any, of the functions t, 2t, 3t are solutions of the differential equa- tion yprimeprime ? 2yprime + 2y = 4t ? 4? 2. (10 points) Solve the initial value problem yprime = ty + t, y(0) = 2, by separation of variables. 3. (10 points) Solve the initial value problem yprime = (1 ? y)cosy, by integrating factor. 4. (13 points) Find the sum of the given infinite series if it is convergent. (a) (6 points) 5 2 6 + 53 62 + 54 63 + 55 64 + 56 ...

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