Consider a large plane wall of thickness L = 0.3 m, thermal conductivity k = 2.5 W/m · K, and surface area A = 24 m². The left side of the wall is subjected to a heat flux of q̇₀ = 350 W/m² while the temperature at that surface is measured to be T₀ = 60°C. Assuming steady one-dimensional heat transfer and taking the nodal spacing to be 6 cm,

(a) 0btain the finite difference formulation for the six nodes

(b) Determine the temperature of the other surface of the wall by solving those equations.