exam3fall05

exam3fall05 - Math 254 Fall 2005(Prof Bayly EXAM 3(10...

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Math 254, Fall 2005 (Prof. Bayly) EXAM 3 (10 November 2005) NAME: Recitation section, day, time, and location: Recitation instructor: There are 4 problems on this exam. Problems 1,2 are worth 20 points each, and problems 3,4 are worth 30 points each, but they are not all the same difficulty. We recommend you look over the entire exam before choosing which problem to start with. You are not expected to finish everything, but you should do as much as you can. It is extremely important to show your work and explain your reasoning. If you need additional paper, raise your hand and the proctor will bring you some. NO CALCULATORS ARE PERMITTED ON THIS EXAM! If you obtain a numerical expression you cannot evaluate without a calculator, represent it by a suitable symbol throughout the rest of the problem. The acronym ”DE” will stand for ”differential equation” throughout this exam. Problem (1): Problem (2): Problem (3): Problem (4): ———————————– Whole Exam:
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(1)(20 points) The forcing function for a linear differential equation with constant coefficients is f ( t ) = t 3 e - t + t 2 sin( t ) . (a)(5 points) What function form would be a good first guess for the particular solution y p ( t ) of the DE (which you don’t even know yet)? (b)(5 points) If the complementary solution is (where
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This note was uploaded on 04/29/2008 for the course MATH 254 taught by Professor Indik during the Fall '08 term at Arizona.

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exam3fall05 - Math 254 Fall 2005(Prof Bayly EXAM 3(10...

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