6. The rate of heat flow (conduction) between two points on a cylinder heated at one end is given by dQ = λα dt dt dx Where a constant, A = the cylinder's cross-sectional area, Q = = heat flow, T temperature, t = time and x = distance from heated end. Because the equation involves two derivatives, we will simplify by letting dT - dx 100(L x)(20 - t) 100-xt Where L is the length of the rod. Using a suitable method, compute the heat flow rate for t = 0 to 25 seconds. The initial condition is Q(0) = 0 and the parameters λ = 0.5 cl.cm/s, A = 12 cm²,L = 20 cm and x 2.5 cm.