PROBLEM #1 t>0, The heat conduction in a circular ring is formulated by the following PDE: Cน d'u =k -LSXSL at @x u(-L,t

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PROBLEM #1 t>0, The heat conduction in a circular ring is formulated by the following PDE: Cน d'u =k -LSXSL at @x u(-L,t)=(L,t) (-1,0) = T (1,1) u(x,0)=f(x) In the above notation, u(x,t) stands as the temperature as a function of distance (x), and time (t). Apply the Separation of Variables technique to find a solution to the above formulated problem.