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Unformatted text preview: scribed boundary conditions. Once v is found, write u ( x, t ) = v ( x ) + w ( x, t ) where w ( x, t ) is the transient response. Substitue this u back into the PDE to produce a new PDE for w which now has homogeneous boundary conditions. 18. Solve Laplaces equation, 2 u = 0 , x , y subject to the boundary conditions u ( x, 0) = sin x + 2 sin 2 x u ( , y ) = 0 u ( x, ) = 0 u (0 , y ) = 0 19. Repeat the above problem with u ( x, 0) = 2 x 2 + 2 x 3 x 4 50...
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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.
 Fall '08
 BELL,D

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