4038T2Su2010_Solutions

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

This preview shows pages 1–2. Sign up to view the full content.

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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 01/06/2012 for the course MATH 4038 taught by Professor Staff during the Summer '08 term at LSU.

### Page1 / 5

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online