Differential equation describes exchange of matter, energy, information or any other quantities; often as they vary in time and /or space. Integral transform which is particularly useful in solving differential equations. Integral transform is a very powerful mathematical tool applied in various areas of engineering and science. Using differential transformation method (DTM) to solve differential equation of the type Lane Emden equations as singular initial value problems. Also DTM was employed to solve Volterra integral equations of second kind. This paper will discuss the application of the differential transformation method, which is based on Taylor series expansion, to construct analytical approximate solution of the initial value problems.