Ordinary Differential Equation Solutions

In scientific research or even in everyday life and social science, some phenomena can be described by differential equations. Therefore, differential equations are regarded as the mathematical foundation in dynamic system modeling. Differential equations are classified as ordinary differential equations (ODEs) and partial differential equations (PDEs). In this chapter, solutions to various ODEs are presented. For linear ODEs, analytical solutions are explored. Numerical solutions are presented to various ODEs such as stiff ODEs, implicit ODEs, differential-algebraic equations and delay differential equations. Boundary value problems are also explored.