The analytic solution to the heat equation subject to the boundary conditions and initial condition is JT (x, t) t = T(0,t> 0) = Tb T(x o, t) = T T(x,t) T Tb - Ti T(t, x) dx T(x > 0,0) = T = erfc X 4at In [ ]: Consider a brick wall (a = 0.52 mm/s) initially at 25C. Generate a 2D plot where you show the temperature profiles at t = 0, 15, 30, 45, 60 min after the surface temperature is raised to 100C. Clearly label your plots. The figure should look like: Temperature, T (C) 100 90 80 70 60 50- 40 30- 0.000 0.025 0.050 0.075 0.100 0.125 0.150 Position, x (m) t=0 t=15 t=30 t=45 t=60 min 0.175 0.200