difference eqn explain it please

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

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

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

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

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