Differential Equations Lecture Work Solutions 143

Differential Equations Lecture Work Solutions 143 - u tt u...

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4. Solve the wave equation u tt c 2 u xx = xt, 0 <x<L , subject to the initial conditions u ( x, 0) = sin x u t ( x, 0) = 0 and each of the boundary conditions a. u (0 ,t )=1 , u ( L, t )= t. b. u x (0 ,t )= t, u x ( L, t )= t 2 . c. u (0 ,t )=0 , u x ( L, t )= t. d. u x (0 ,t )=0 , u x ( L, t )=1 .
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Unformatted text preview: u tt u xx = 1 , < x < L, subject to the initial conditions u ( x, 0) = f ( x ) u t ( x, 0) = g ( x ) and the boundary conditions u (0 , t ) = 1 , u x ( L, t ) = B ( t ) . 143...
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This note was uploaded on 12/22/2011 for the course MAP 2302 taught by Professor Bell,d during the Fall '08 term at UNF.

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