difference eqn explain it please

[dirac]

please explain the difference equation and differential equation and give the algorithm to find solution for it

 

[sharadbags]

can you elaborate it further this is regardin what?????

 

[Electronica]

we can represent any electrical system in terms of diffential eqns and to solve use any book on this topic to view diff methos

 

[suvendu]

Difference eqn is used in discrete system and diff eqn for analog system........

 

[salem_eng1]

The difference eqn or diffrential eqn is an equation which descripe the input output relation of a system

The difference eqn is used for discreat system
The diffrential eauation used in continuous system

Examples

1-Differnce equation:

assume a system with output x and input y and the difference eqn descrping this system is

x[n]=y[n]-x[n-1] initial condition x[-1]=0
and the input is y[n]= n for n=0,1,2,3,...

find x[n]

solution:

This diffence equation can be solved by alot of methods the simple method is the direct method but it doesn't give any compact form


x[0]=y[0]-x[-1]=0-0=0
x[1]=y[1]-x[0]=1-0=1
x[2]=y[2]-x[1]=2-1=1
.
.

You also can use the Z-transform to get an compact form for x

2- Diffrential equation

Is like the diffrence equation but in continuous system and have a lot of methods to solve
the famous method is Laplace transform

Example

ydy+x=dx



For more information see this links :
https://en.wikipedia.org/wiki/Difference_equation
https://en.wikipedia.org/wiki/Differential_equation