The solution of the heat equation Urx Ut, 0 0, which satisfies the boundary conditions u(0, t) = 5 and u(1, t) = 1 and the initial condition u(x, 0) I has the form u(x, t) = v(x)+E bn sin(nrx)et,...

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Extracted text: The solution of the heat equation Urx Ut, 0 < x="">< 1,t=""> 0, which satisfies the boundary conditions u(0, t) = 5 and u(1, t) = 1 and the initial condition u(x, 0) I has the form u(x, t) = v(x)+E bn sin(nrx)et, where n=1 v(x) = 5 – 4 and bn = 10 f (x – 1) sin(nr2) dx b) None of these v(x) = 5 – 4x and b, = 2 f a sin(nnx) dx v(x) = 5 – 4x and br = 10 f, (1 – 2) sin(nr2) dr v(x) = x +5 and bn = 2 fo z sin(nn2) dx