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3. Consider the heat diffusion problem that governs the temperature field u(x.t) in a rod with insulated lateral surface. The boundary and initial conditions are prescribed as follows: ur(0,t)u (3m, t) 0 u(x,0) = f(x)= 0 for 0 < x < 2π and f (x)= 60, for 2π< x < 3π Obtain the solution for the temperature distribution along the rod for given conditions.

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