In recent years, due to the rapid development of non linear science, the researchers have shown their interest in the analytical techniques to solve a wide variety of linear, nonlinear ordinary and partial differential equations. A number of techniques have been proposed to solve the non linear equations, but these analytical techniques have their own assumptions, deficiencies and limitations. I this book we solve the various forms of the differential equations by using Adomian Decomposition method which provide readily verifiable and rapidly convergent approximate solution with less computation.