Comparative Study of the Solution of 4th Order Ordinary Differential Equation Using Some Integral Transforms

Abstract

In mathematics, physics, and engineering, choosing the most effective and sufficient method for the integral transform is crucial since  solving any given problem requires finding a precise and distinct solution. Since differential equations are particularly useful for building  models in the scientific domain and ordinary differential equations can be solved in a variety of ways. This paper will use Laplace and some updated integral transforms such as Elzaki, Shehu, Aboodh, and Shehu transforms to solve fourth-order ordinary differential  equations in order to demonstrate its high accuracy, simplicity, and efficiency.