4038HW14_Su2010 - Question Find the general solution to the...

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Homework #14 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.
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Unformatted text preview: Question. Find the general solution to the equation xy + (1-2 x ) y + ( x-1) y = 0 which has a regular singular point at 0. Find at least one solution by the method of Frobenius, and note that this is the power series of a well-known function. Then use reduction of order to nd a second linearly independent solution. 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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