Question: u / t = 2 u / x 2 Find u ( x, t ) such that with u ( x , 0 ) =

u / t=2u / x2

Find u ( x, t ) such that with

u ( x, 0 ) = sin ( x ) 0 x 1,u ( 0, t ) = 0 0 t 1,u ( 1, t ) = 0 0 t 1

Solve this problem analytically for u( x, t )

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