[6 marks] 5. Solve the initial boundary problem u₁(x, t) = Uxx (x, t), 0

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6 Marks 5 Solve The Initial Boundary Problem U X T Uxx X T 0 X 2 0 T Uz 0 T Uz 2 T 0 0 T U 1 (78.02 KiB) Viewed 40 times

[6 marks] 5. Solve the initial boundary problem u₁(x, t) = Uxx (x, t), 0<x<2, 0< t <∞ uz (0, t) = uz (2, t) = 0, 0≤t<∞ ux COS cos (T) 0<x< 1 u(x, 0): { 1 1 < x < 2 Hint: Recall that the solution of a 1-d heat equation with insulated ends is given by 2 u(x, t) = c+Σ + Σa, exp[- (177) ² xt] cos (177) an n=1 =