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pfinalexam - Math 33b Lecture 2 Fall 2007 Final Exam Name...

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Math 33b Final Exam Lecture 2 Fall 2007 Name: Section: Instructions: There are 7 problems, one of which has 3 parts. Make sure that you are not missing any pages. Show all work in detail or your answer will not receive credit. Write neatly and box all answers. No calculators, PDA’s, cell-phones, books, or notes are allowed. Answer the questions in the spaces provided on the question sheets. If you run out of room for an answer, continue on the back of the page. Do not use your own scratch paper. Extra scratch paper is available from the front of the room. IF YOU HAVE EXTRA TIME, YOU SHOULD CHECK YOUR ANSWERS. Question Points Score 1 30 2 30 3 30 4 30 5 30 6 25 7 25 Total: 200
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1. (a) (10 points) Find the general real-valued solution for the following system of equa- tions: y 0 1 = 3 y 1 + y 2 y 0 2 = y 1 + 3 y 2
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(b) (5 points) Find the particular solution for the system in part (a) which satisfies the initial conditions y 1 (0) = 1 , y 2 (0) = 0 .
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