Methods of solution of second order ordinary differential equation involving variable coefficients
This project delves into the intricate realm of solving second-order ordinary differential equations, aiming to elucidate and demystify the methodologies involved, along with their practical applications. Particular emphasis is placed on the utilization of variation of parameters and exact solutions, both as tools for resolving these equations and for transforming higher-order ordinary differential equations.
1.0 INTRODUCTION:
This chapter introduces the Methods of solution of second order ordinary differential equation involving variable coefficients and its relevance, states the research problems, research questions, and objectives, provides a background of the study, and should also include the research hypothesis [INTRO4842]…
2.0 INTRODUCTION:
This chapter provides the background and context of the research problems, reviews the existing literature on the Methods of solution of second order ordinary differential equation involving variable coefficients, and acknowledges the contributions of scholars who have previously conducted similar research [REV4842] …
CERTIFICATION
DEDICATION
ACKNOWLEDGEMENT
ABSTRACT
CHAPTER ONE
1.0 INTRODUCTION
1.1 BACKGROUND OF THE STUDY
1.4 STATEMENT OF THE PROBLEM
1.5 OBJECTIVES OF THE STUDY
CHAPTER TWO
LITERATURE REVIEW
2.0 INTRODUCTION
2.2.1 HISTORY OF ORDINARY DIFFERENTIAL EQUATIONS
2.2.2 EVOLUTION OF THE METHODS OF SOLVING ORDINARY DIFFERENTIAL EQUATIONS AS SEEN IN LITERATURE 11
CHAPTER THREE
RESEARCH METHODOLOGY
3.0 INTRODUCTION
3.1 SOME IMPORTANT THEOREMS, DEFINITIONS AND LEMMAS
3.2 ANALYTICAL METHODS OF SOLVING AN ORDINARY DIFFERENTIAL EQUATION
3.2.0 FIRST ORDER ODES
3.2.1 SECOND ORDER LINEAR ODES WITH CONSTANT COEFFICIENTS
3.2.2 SECOND ORDER LINEAR ODES WITH VARIABLE COEFFICIENTS
CHAPTER FOUR
4.0 INTRODUCTION
4.1 CASE STUDY
CHAPTER FIVE
CONCLUSION AND RECOMMENDATIONS
5.0 INTRODUCTION
5.1 CONCLUSION
5.2 RECOMMENDATIONS FOR FUTURE RESEARCHERS
REFERENCES