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.
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