For u(x,t) defined on the domain of 0x2 and t0, solve the PDE +2. +3. at...

 

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For u(x,t) defined on the domain of 0x2 and t0, solve the PDE +2. +3. at dx ax at 3+2u= 0, at with periodic boundary conditions in the x-direction, and the boundary conditions at t = 0 given as (i) u(x, 0) = 1 (ii) u(x, 0) = 2 + cos(x).. For u(x,t) defined on the domain of 0x2 and t0, solve the PDE +2. +3. at dx ax at 3+2u= 0, at with periodic boundary conditions in the x-direction, and the boundary conditions at t = 0 given as (i) u(x, 0) = 1 (ii) u(x, 0) = 2 + cos(x)..