The heated surface at x 0 is maintained at uniform

Question

Radiation is used to heat a plate of thickness L and thermal conductivity k. The radiation has the effect of volumetric energy generation at a variable rate given by

q^m(x) = q^m₀ e^-bx,

where and q*_c are constant and x is the distance along the plate. The heated surface at x = 0 is maintained at uniform temperature while the opposite surface is insulated. Determine the temperature of the insulated surface.