For u(x,t) defined on the domain of 0 x 1 and t 0, find the full solution for the PDE, Ju x at with the boundary conditions: (i) u(0, t) = 0, (ii) u(1,t) = 0, (iii) u(x,0) = sin(2x) + sin(3x). In addition, also find the steady solution as to. For this problem, we expect a closed-form exact solution with only a finite number of terms and without any unevaluated integrals. This is required for both the full solution and the steady solution. Expect a deduction if the requirement is not satisfied. = cosh(t) +47 osh(t) u,