Ordinary differential equation - Definition - Article Index

Encyclopedia - Ordinary Differential Equation: Encyclopedia Ii - Ordinary Differential Equation - Definition
Let y represent an unknown function of x, and let denote the derivatives An ordinary differential equation (ODE) is an equation inv...   » Read the article

Encyclopedia - Ordinary Differential Equation: Encyclopedia - Ordinary Differential Equation
In mathematics, and particularly in analysis, an ordinary differential equation (or ODE) is an equation that involves the derivatives of ...   » Read the article

Encyclopedia - Ordinary Differential Equation: Encyclopedia Ii - Ordinary Differential Equation - Types Of Differential Equations With Some History
The influence of geometry, physics, and astronomy, starting with Newton and Leibniz, and further manifested through the Bernoullis, Ricca...   » Read the article

Encyclopedia - Ordinary Differential Equation: Encyclopedia Ii - Ordinary Differential Equation - General Application
An important special case is when the equations do not involve x. These differential equations may be represented as vector fields. This ...   » Read the article

Encyclopedia - Ordinary Differential Equation: Encyclopedia Ii - Ordinary Differential Equation - Existence And Nature Of Solutions
The problem of solving a differential equation is to find the function y whose derivatives satisfy the equation. For example, the differe...   » Read the article