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###### Problem 3 points) For u(x;t) defined on the domain of 0 <x < 21 and 20, solve the PDE_du d2u du (1 +t) 1 41 dt dx2 dxwith periodic boundary conditions in the x-direction; and the boundary condition in the t-direction given asu(x; 0) = 1 sin(2x) cos(2x)We expect closed-form solution which consists of only finite number of terms and without any unevaluated integrals. The solution should be expressed in real functions

Problem 3 points) For u(x;t) defined on the domain of 0 <x < 21 and 20, solve the PDE_ du d2u du (1 +t) 1 41 dt dx2 dx with periodic boundary conditions in the x-direction; and the boundary condition in the t-direction given as u(x; 0) = 1 sin(2x) cos(2x) We expect closed-form solution which consists of only finite number of terms and without any unevaluated integrals. The solution should be expressed in real functions

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