3. Heat is transferred steadily and in one direction in a plane wall shown below. The material has a thermal conductivity k=bT and experiences a volumetric thermal energy generation of q. The edge of the wall at x=0 is insulated and the edge at x=L, is exposed to a constant temperature of TL. (a) Write a differential equation of heat transfer and obtain the temperature profile in the material as a function of properties given in the problem statement. (b) Determine the temperature of the material at x=0 if q=105W/m3,L=1m,TL=100C and b =10W/mK2