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The order of the differential equation is the highest order derivative occurring in the equation. The examples of differential equations of various orders can be defined as follows. First order differential equations: 1. y' + tan x = 2y 2. y' + log x = 2xy Second order differential equations: 1. y" + tanx = 2y 2. y" + log x = 2xy Third order differential equations: 1. y" + tanx = 2y 2. y'" + log.x = 2xy Fourth order differential equations: 1. y(iv) + tan x = 2y 2. yliv) + log x= 2xy

The order of the differential equation is the highest order derivative occurring in the equation. The examples of differential equations of various orders can be defined as follows. First order differential equations: 1. y' + tan x = 2y 2. y' + log x = 2xy Second order differential equations: 1. y" + tanx = 2y 2. y" + log x = 2xy Third order differential equations: 1. y" + tanx = 2y 2. y'" + log.x = 2xy Fourth order differential equations: 1. y(iv) + tan x = 2y 2. yliv) + log x= 2xy

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 16EQ
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The order of the differential equation is the highest order derivative occurring in the equation. The examples of differential equations of various orders can be defined as follows. First order differential equations: 1. y' + tan x = 2y 2. y' + log x = 2xy Second order differential equations: 1. y" + tanx = 2y 2. y" + log x = 2xy Third order differential equations: 1. y"" + tanx = 2y 2. y"" + log x= 2xy Fourth order differential equations: 1. y(iv) + tan x = 2y 2. y(iv) + log x= 2xy
Transcribed Image Text:The order of the differential equation is the highest order derivative occurring in the equation. The examples of differential equations of various orders can be defined as follows. First order differential equations: 1. y' + tan x = 2y 2. y' + log x = 2xy Second order differential equations: 1. y" + tanx = 2y 2. y" + log x = 2xy Third order differential equations: 1. y"" + tanx = 2y 2. y"" + log x= 2xy Fourth order differential equations: 1. y(iv) + tan x = 2y 2. y(iv) + log x= 2xy
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