Verify the equation (B-2) (you must show the problem-solving procedure):

(b) A student studied heat transfer in a semi-infinite solid as shown in Fig.(a). The solid surface is exposed to a heating source with a constant heat flux input qB. The heat conduction flux qA at the given time t and the distance x in the solid can be expressed by the equation (B1). qA=qB[1erf(2tx)] :ig. (a) where Ti is the initial temperature of the solid. is the thermal diffusivity of the solid. According to equation (B-1), the student derived equation (B-2) for the temperature distribution T(x,t) T(x,t)=Ti+kqB{2te4tx2x[1erf(2tx)]}