Differential Equations – Explanation, Types, Order and Degree, and Applications

# Differential Equations – Explanation, Types, Order and Degree, and Applications

## What is a Differential Equation?

A differential equation is a mathematical equation that describes the change in a variable (usually a function) over time. It usually contains one or more derivatives of the variable with respect to time.

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## First Order Differential Equation

A first order differential equation is an equation that contains a derivative of a function. The equation is usually in the form of y’=f(x,y), where y is the dependent variable and f(x,y) is the function.

## Second-Order Differential Equation

A second-order differential equation is a mathematical equation that expresses a relationship between two variables in terms of a derivative of the first variable with respect to the second variable, and the second variable itself. Second-order differential equations are used to model a wide variety of physical and mathematical phenomena, including vibrations, heat propagation, fluid flow, and the motion of particles in a magnetic field.

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