4038HW21_Su2010 - Question Consider the(hyperbolic equation 4 u xx-u yy = 0(1 Find all the values of for which there exist solutions of the form

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Homework #21 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 Consider the (hyperbolic) equation 4 u xx-u yy = 0 (1) Find all the values of λ for which there exist solutions of the form u = φ ( x-λy ) and then express the general solution of (1) in terms of such functions. (Remember to show your change of variables and how it enables you to integrate the equation in order to solve it.) 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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