2. Consider the following boundaryvalue problem for the heat equation with a constant heat source along a wire with uniform density and heat capacity? and Variable thermal conductivity: Eln = 31{Q:3I'u}+1. 1' E [1,2], t E R4\" 1411:): l], 3:111:2' t} = I]. You could also think of the wire as a solid whose crosssectional area at :r is proportional to 3:. a} B3,; setting 5th = D and solving, nd an equilibrium solution 143:}. b} Is :1: H- x} a monotone {increasing or decreasing} function? Explain briey why ids} looks the way it does? in terms of the physical interpretation of the heat source and boundary eonditions