Homogeneous differential equation
id:
homogeneous-differential-equation-257-8063311
title:
Homogeneous differential equation
text:
A differential equation can be homogeneous in either of two respects. A first order differential equation is said to be homogeneous if it may be written where f and g are homogeneous functions of the same degree of x and y. In this case, the change of variable y = ux leads to an equation of the form which is easy to solve by integration of the two members. Otherwise, a differential equation is homogeneous if it is a homogeneous function of the unknown function and its derivatives. In the case of
brand slug:
wiki
category slug:
encyclopedia
description:
Type of ordinary differential equation
original url:
https://en.wikipedia.org/wiki/Homogeneous_differential_equation
date created:
date modified:
2023-03-19T10:36:08Z
main entity:
{"identifier":"Q2434565","url":"https://www.wikidata.org/entity/Q2434565"}
image:
fields total:
13
integrity:
14