Heat Transfer in Solid by Using Linear Differential Equation

Abstract

Abstract: Differential equations are fundamental importance in engineering mathematics because any physical law s and relations appear mathematically in the form of such equations. . The rate of heat conduc- tion in a specified direction is proportional to the temperature gradient,which isthe rate of change in temperature with distance in that direction. In this paper we discussed about first order linear homogeneous equations, first order linear non homogeneous and the application of first order differential equationto heat transfer analysis particularly in heat conduction in solids.