Solve the heat flow problem shown below with B = 3, L = T, and the...

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Solve the heat flow problem shown below with B = 3, L = T, and the given function f(x) = 4 sin (x) – 5 sin (2x) +3 sin (6x) du -(x, t) = B(x, t). 0<x<L, t>0, u(0, t) = u(L, t) = 0, t>0, u(x, 0) = f(x), 0<x<L u(x, t) =O (Type an exact answer in terms of e.) Solve the heat flow problem shown below with B = 3, L = T, and the given function f(x) = 4 sin (x) – 5 sin (2x) +3 sin (6x) du -(x, t) = B(x, t). 0<x<L, t>0, u(0, t) = u(L, t) = 0, t>0, u(x, 0) = f(x), 0<x<L u(x, t) =O (Type an exact answer in terms of e.)