Unformatted text preview: AMS 361: Applied Calculus IV by Prof Y. Deng
Homework 6
Assignment Date: Collection Date: Grade: Wednesday (10/28/2009) Wednesday (11/04/2009) Each problem is worth 10 points. Problem 6.1 Find the general solution of the following equation 4 2
4 4
, , 2
2 2
, , 3
2 3 2; 3; 3 1 0 where
0 0 1 4; Problem 6.2 Find the general solution of the following equation 0 where , constant and integer 0 0
,…, Problem 6.3 (Prob. 52, P. 211, 4e) Find the general solution of the following DE 9 3 9 3 3 For 3 3 3 3 9 3 3 6 3 3 3 3 6 3 3 3 3 3 3 sin3x 3 3 9 3 3 9 3 0 A=0, B= 3 3 1 6 3 , 3 3 3 3 3 3 3 cos 3 3 sin 3 3 1 3 3 3 3 3, 3 3 3 3 3 3 sin 3 1 3 3 1 3 1 3 3 1 cos 3 6 3 2 1 6 3 3 3 3 1 4 6 3 1 3 1 6 3 Problem 6.4 Find the general solution for the following DE, 2 2 0 1 given ; 2 2 0 0 0 rr r 0,1 0 2 2 0 Problem 6.5 (Prob. 58, P. 211, 4e) Find the general solution for the following DE, 4 6 1 1 4 6 1 , 1 1 , 4 2,3 , 0 2 3 0 2 3 1; ; 1 6 0 1 1 1 Problem 6.6 (Deng Notes on Bassel Equation of order “n”) Find the general solution for the following equation, 0 0 . Outline the solution steps for arbitrary integer “n”. To be more specific, I when add the following information: Assume you are given one solution with integer “n” as , find the other solution in terms of the given solution. : 1 2 √ 2 0 , 1 √ √ ...
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 Fall '08
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