Unformatted text preview: to solve problem (*) when F ( x ) = R , ( R > 0, constant). 2. Consider the following problem for the inhomogeneous onedimensional wave equation, ( ** ) u tt = ku xx + F ( x ) , (0 < x < l, t > 0) , u ( x, 0) = f ( x ) , u t ( x ) = g ( x ) , (0 < x < l ) , u (0 , t ) = u ( l, t ) = 0 , ( t > 0) , where F, f and g are given functions. (a) Solve this problem using the technique of exercise 1. (b) Find the solution if g ( x ) = 0, f ( x ) = M , and F ( x ) = R , ( M, R positive constants)....
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This note was uploaded on 02/07/2011 for the course MATH 212 taught by Professor Friedmannbrock during the Fall '08 term at American University of Beirut.
 Fall '08
 FriedmannBrock
 Math, Differential Equations, Equations, Partial Differential Equations

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