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Unformatted text preview: Question (a) (8 points) Use separation of variables to solve the partial diFerential equation u t = 2 u x 2 (1) with the following boundary conditions and initial conditions: x u (0 , t ) x u ( L, t ) for all t > 0. u ( x, 0) = x for all x [0 , L ]. (b) (2 points) inally, nd lim t u ( x, t ) on the interval [0 , L ]. 1...
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- Summer '08