For u(x, t) defined on the domain of 0 x2 and t 0, solve the PDE,...

 

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For u(x, t) defined on the domain of 0 x2 and t 0, solve the PDE, 227 24? 222=7x++ +100 a? 2 +100?, with periodic boundary conditions in the x-direction. The boundary conditions in the t-direction are given as (i) ?(x, 0) = cos(10x) (ii) ?(x, 0) = 1 + sin(x) For u(x, t) defined on the domain of 0 x2 and t 0, solve the PDE, 227 24? 222=7x++ +100 a? 2 +100?, with periodic boundary conditions in the x-direction. The boundary conditions in the t-direction are given as (i) ?(x, 0) = cos(10x) (ii) ?(x, 0) = 1 + sin(x)