4038T2Su2010_Solutions

4038T2Su2010_Solutions - Test #2 Math 4038 July 2010 Print...

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Test #2 Math 4038 July 2010 Print Your Name Here: Show all work in the space provided. We can give credit only for what you write! Indicate clearly if you continue on the back side , and write your name at the top of the scratch sheet if you will turn it in for grading. No books or notes are allowed . A scientiFc calculator is allowed—but it is not needed. If you use a calculator, you must still write out the operations performed on the calculator to show that you know how to solve the problem and did not just guess or remember the answer. Please do not replace precise answers with decimal approximations. There are four (4) problems: Maximum total score = 100. Legendre’s Equation: ( 1 x 2 ) y 00 2 xy 0 + n ( n +1) y =0 Beessel’s Equation: x 2 y 00 + xy 0 + ( x 2 ν 2 ) y =0 1. Consider the solutions y = X 0 a m x m to the Legendre equation ( 1 x 2 ) y 00 2 xy 0 +6 y =0 . (1) a . (15) ±ind a recursion formula that determines all the coefficients a m in terms of it predecessors. b
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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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4038T2Su2010_Solutions - Test #2 Math 4038 July 2010 Print...

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