Ordinary Differential Equations: Definitions and Examples

This lecture introduces ordinary differential equations, which relate a variable or an unknown function to its derivatives. The order of an ordinary differential equation is determined by the highest derivative present. Examples of first and second-order equations are provided, along with the concept of general solutions. The lecture also covers the types of problems encountered when dealing with differential equations and the importance of finding general and specific solutions. The applications of differential equations are vast, ranging from describing the motion of bodies to modeling chemical reactions and population growth.