Differential Equations
Definition of Differential Equations as it relates to Science, Mathematics, Pure Mathematics
Differential equations is the study of relationships between functions and their derivatives, often represented by equations containing variables and their derivatives. In the context of pure mathematics, it involves analyzing these equations to understand their properties and find solutions. It forms a crucial part of mathematical modeling in various scientific fields, including physics and engineering, where real-world phenomena are described using differential equations. This subfield within pure mathematics explores theoretical aspects, such as existence and uniqueness of solutions, as well as numerical methods for approximating solutions.