Question: 0 Question 1.4.1: Determine the equilibrium temperature distribution for a onedimensional rod, satisfying the equation Bu (9 Bu Assume constant thermal properties, K0, and the

0 Question 1.4.1: Determine the equilibrium temperature distribution for a onedimensional rod, satisfying the equation Bu (9 Bu Assume constant thermal properties, K0, and the following sources Q and boundary conditions. 1. 7% = x2, u(0) = T, um(L) = 0 Page 1 2.Q=0, u(0)=T, u,(L)+u(L)==0 0 Question 1.4.7: Suppose '35? = $1; + a: with u(a:, 0) = f(:1:) and %(O,t) = [3, %(L,t) = 6. 1. Calculate the total thermal energy, fOL u(m, t) dm, for the ld rod as a function of time. 2. From part a), determine a value of ,8 for which an equilibrium exists. For this value of ,3, determine limt.,o u(:1:, t)

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