The definitions, Properties and applications of the new integral transform (ELzaki
transform) to ordinary differential equations are described in this paper. The ELzaki
transform can be used to solve ordinary differential equation and Control engineering
Problems. The ELzaki transform easier than the Laplace transform for beginners to
understand and use, also this transform can still serve as an auxiliary method to the
Laplace transform.
A lot of work has been done on the theory and applications of transforms such as
Laplace-Fourier-Melin- Hankel and Sumudu, to name a few, but very little on the
power series transformation or ELzaki transform, probably because it is little known
,and not widely used, the ELzaki transform rivals the Laplace transform in problem
Solving , its main advantage is the rivals that it many be used to solve problems
without resorting to anew frequency domain because it preserve scales and units
properties, the ELzaki transform may be used to solve intricate problems in
engineering , mathematics and applied science without resorting to a new frequency
domain.