This paper presents the differential transformation method to evaluate approximate solution of ordinary differential equation along with its application in electrical circuit problem in various time domain. The method has been well established with six test problems and comparison has been made between analytical and numerical results to obtain convergence to a fair degree of accuracy. The results obtained suggest that the present technique can be treated as an efficient and alternative method for solving initial and boundary value problems.
differential transformation method (dtm), inverse dtm, Taylor’s series, power series
 Zhou JK. (1996). Differential Transformation and its application for electrical circuits. Huarjung University Press, Wu-uhahn, China.
 Viswa S, Rao P, Rama PS, Rao C, Rao PC. (2011). Solution of differential equation from the transformation technique. International Journal of Computational Science and Mathematics 3(1): 121-125.
 Ayaz F. (2004). Applications of differential transformation method to differential algebraic equations. Applied Mathematics and Computation 152: 649-657.
 Jang MJ, Chen CL, Liu YC. (2000). On solving the initial value problem using the differential transformation method. Applied Mathematical Computation 115: 145-160.
 Vedat SE. (2007). Differential Transformation Method for solving Differential equation of Lane-Emden type. Mathematical and Computational Applications 12(3): 135-139.
 Abdel Halim Hassan IH. (2008). Application of differential transformation method for solving systems of differential equations. Applied Mathematical Modeling 32: 2552-2559.
 Kreyszig E. Advanced Engineering Mathematics, 10th Eddition, Wiley.