Consider a one-dimensional plane wall of thickness 2L. The surface at x = -L is subjected to convective conditions characterized by T_infinity1, h1, while the surface at x = +L is subjected to conditions T_infinity2, h2. The initial temperature of the wall is T0 = (T_infinity1 + T_infinity2) / 2 where T_infinity1 > T_infinity2. (a) Write the differential equation, and identify the boundary and initial conditions that could be used to determine the temp distribution T(x,t) as a function of position and time. (b) On T-x coordinates, sketch the temp distributions for the initial condition, the steady-state condition, and for two intermediate times for the case h1=h2.