Question

what is partial differential equation and give three examples​

Answer 1

Step-by-step explanation:

In Mathematics, a partial differential equation is one of the types of differential equations, in which the equation contains unknown multi variables with their partial derivatives. It is a special case of an ordinary differential equation. In this article, we are going to discuss what is a partial differential equation, how to represent it, its classification and types with more examples and solved problems.

Table of Contents:

Definition

Representation

Classification

Types

Examples

Problem

Partial Differential Equation Definition

A Partial Differential Equation commonly denoted as PDE is a differential equation containing partial derivatives of the dependent variable (one or more) with more than one independent variable. A PDE for a function u(x1,……xn) is an equation of the form

Partial Differential Equation

The PDE is said to be linear if f is a linear function of u and its derivatives. The simple PDE is given by;

∂u/∂x (x,y) = 0

The above relation implies that the function u(x,y) is independent of x which is the reduced form of partial differential equation formula stated above. The order of PDE is the order of the highest derivative term of the equation.