Write down the form of the complementary solution y c and...

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Math 286, Test 2, 4/1/2009 Name: There are 9 pages and 6 questions, for a total of 90 points. No calculators, no books. 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. Unless otherwise stated, show all your work for full credit. Good luck! Question: 1 2 3 4 5 6 Total Points: 10 15 15 10 20 20 90 Score: Useful formulas: y = y c + y p ω 0 = r k m , p = c 2 m , ω 1 = q ω 2 0 - p 2 y p = y 1 u 1 + y 2 u 2 ( y 1 u 0 1 + y 2 u 0 2 = 0 y 0 1 u 0 1 + y 0 2 u 0 2 = f ( x ) Page 1 of 9
Math 286, Test 2, 4/1/2009 1. Write down the form of the complementary solution y c and the particular solution y p by the method of undetermined coefficients. You do not need to evaluate any coefficients.
(b) (5 points) y 00 + y = x sin x.

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