4038HW10_Su2010

4038HW10_Su2010 - y + 2 xy + y = 0 . (1) a . (8) Find a...

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Homework #10 to Hand In Math 4038 Summer 2010 Print Your Name: S how all work: We can give credit only for what you write! Hand in only your own work—nothing copied! Please do not convert exact answers into decimal approximations. Please write neatly so that the grader can read your work easily. You may print a copy of this Fle and write on it, or use a blank paper with your name at the top. The maximum score possible is 10. Question. Suppose y = X n =0 a n x n is a solution to the ordinary diferential equation
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Unformatted text preview: y + 2 xy + y = 0 . (1) a . (8) Find a recursion relation expressing a n +2 in terms o a n or all n 0. b . (2) Express a 2 , a 4 and a 6 in terms o a and express a 3 and a 5 in terms o a 1 . (Remark: In this way one can express the general solution o the diferential equation in the orm y = a y + a 1 y 1 where y is the sum o a power series with only even powers o x , and y 1 has only odd powers. But you do not need to do this now.) 1...
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This note was uploaded on 01/06/2012 for the course MATH 4038 taught by Professor Staff during the Summer '08 term at LSU.

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