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Application of Laplace Transform in Solving Perturbed Differential Equation

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Application of Laplace Transform in Solving Perturbed Differential Equation


This page presents an excerpt of the available research material, including the Preliminary Pages, Table of Contents, Abstract, Chapters One to Five, and References. It provides a comprehensive overview of the study, enhancing readability and accessibility for students, and researchers seeking complete material on “Application of Laplace Transform in Solving Perturbed Differential Equation”.


ACKNOWLEDGEMENT


I am profoundly grateful to everyone who contributed to the successful completion of this project. I am especially grateful to my Supervisor (Name), the Head of Department (Name), and the Lecturers in the Department of Mathematics for their invaluable guidance and support. I also acknowledge the contributions of authors and scholars whose works on Application of Laplace Transform in Solving Perturbed Differential Equation provided essential insights. Special thanks go to my study area (and any funding organizations, if applicable) for their financial assistance. I am equally thankful to stakeholders, including mentors, teachers, and colleagues, for their encouragement and support. Finally, I deeply appreciate my family and friends for their patience and unwavering support throughout this journey. Your contributions have been instrumental in making this research a reality.




ABSTRACT


Laplace transform has many applications in science and engineering because it is a tool for solving differential equations. In particular, it transforms linear differential equations into algebraic equations and convolution into multiplication. The purpose for embarking on this research work is to determine the Application of Laplace Transform in Solving Perturbed Differential Equation, thereby eliminating the bottleneck of the Perturbed Differential Equation. The research design used in this report is descriptive design, utilizing questionnaire method to obtain information from the respondents for this project. Data were collected from the primary source which questionnaire was used as an instrument of data collection while secondary data were sources from textbooks, journals, newspapers and the internet were employed. This study will be of immense benefit to statistician and other researchers who intend to know more on this study and can also be used by non-researchers to build more on their research work. This study contributes to knowledge and could serve as a guide for other study.




1.1 Introduction

… As a prelude to other parts of this study, this chapter will discuss the background upon which this study was initiated, the statement of problems that led to this study, the Aim and Objectives of the study. Others are Significance of the study, Scope of work, Research hypothesis and questions, Limitation of the study and Definition of technical terms.…


CHAPTER TWO

LITERATURE REVIEW


2.1 Introduction

This chapter focuses on the review of related literature. A literature review includes the current knowledge as well as theoretical and methodological contributions to a particular topic. It documents the state of the art with respect to the topic you are writing. It surveys the literature in the topic selected. In this research work the literature review includes the conceputal review, theoretical framework, the review of related literature …


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