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  1. Differential equation - Wikipedia

    The study of differential equations consists mainly of the study of their solutions (the set of functions that satisfy each equation), and of the properties of their solutions.

  2. Differential Equations - Introduction - Math is Fun

    A Differential Equation is an equation with a function and one or more of its derivatives: Example: an equation with the function y and its...

  3. 8.1: Basics of Differential Equations - Mathematics LibreTexts

    Oct 18, 2018 · Thus, one of the most common ways to use calculus is to set up an equation containing an unknown function y = f (x) and its derivative, known as a differential equation.

  4. Differential Equations - Definition, Formula, Types, Examples

    In calculus, a differential equation is an equation that involves the derivative (derivatives) of the dependent variable with respect to the independent variable (variables).

  5. Differential Equations - GeeksforGeeks

    6 days ago · A differential equation is a mathematical equation that relates a function to its derivatives, come into play in a variety of applications, such as Physics, Chemistry, Biology, …

  6. Differential Equations: A Complete Introduction with Examples

    May 14, 2025 · A differential equation is a relation involving a function and its derivatives. Learn key concepts and methods for solving them with examples.

  7. Differential Equation Definition - BYJU'S

    In Mathematics, a differential equation is an equation that contains one or more functions with its derivatives. The derivatives of the function define the rate of change of a function at a point. It …

  8. Differential equation | Solving, Applications & Examples | Britannica

    Nov 6, 2025 · Differential equation, mathematical statement containing one or more derivatives—that is, terms representing the rates of change of continuously varying quantities.

  9. Differential Equations | Khan Academy

    Learn differential equations—differential equations, separable equations, exact equations, integrating factors, and homogeneous equations, and more.

  10. Basics of Differential Equations Explained: Definition, Examples ...

    In the study of differential equations (DE), we explore equations that involve a function \ ( y = f (x) \) and its derivatives. Understanding the classification of these equations is crucial, as it helps …