Diff equation last step of the solution

[electron2]

after solving a long diff question i got

0.5*u(t+1)-0.5*u(t-1)

where u(t) is a step function for t>=0 its 1
and t<0 its 0

my expression looks pretty finite to me

how to continue??

 

[Hootenanny]

after solving a long diff question i got

0.5*u(t+1)-0.5*u(t-1)

where u(t) is a step function for t>=0 its 1
and t<0 its 0

my expression looks pretty finite to me

how to continue??

I don't understand the question. Does your expression form part of an equation? What is the end goal?

 

[electron2]

my expression is the final solution
but i was told that it cam be developed further more

how??

 

[Hootenanny]

my expression is the final solution
but i was told that it cam be developed further more

how??

You're expression cannot be the final solution since it is not an equation! What is on the left hand side of the equality sign?

However, linear combinations of heaviside (step) functions can often be written in terms of the rectangular function.

 

[electron2]

believe me there is a left side
its some intergral
and its not important

how to write it in terms of the rectangular function?

 

[Hootenanny]

believe me there is a left side
its some intergral
and its not important

Okay, if you say so.

how to write it in terms of the rectangular function?

Try googling rectangle function.

 

[electron2]

i looked it in google
http://en.wikipedia.org/wiki/Rectangular_function
its not helping at all

how to write it using rectangular functions

 

[Hootenanny]

i looked it in google
http://en.wikipedia.org/wiki/Rectangular_function
its not helping at all

Well you obviously didn't look hard enough since the answer is virtually given in the second equation!

how to write it using rectangular functions

I'm here to help you with your work, but I'm not simply going to give you the answer.

 

[electron2]

ok so look at it as if
i asked to solve the whole question
and i showed the solution till some point
and i need to finish it

by saying
"I'm here to help you with your work, but I'm not simply going to give you the answer."

you are not helping at all
you could give a hint
or a article

but you didnt

 

[Hootenanny]

by saying
"I'm here to help you with your work, but I'm not simply going to give you the answer."

you are not helping at all
you could give a hint
or a article

but you didnt

I did give you a hint in post #6, which lead you to an article. I then gave you another hint in post #8, the answer is given there in the second formula on the wiki page!

 

[electron2]

the formula is with (t-0.5)

and i have t-1

how to suit it with my expression

 

[Hootenanny]

the formula is with (t-0.5)

and i have t-1

how to suit it with my expression

Let's have a look at the expression,

And compare with your expression,

f\left(t\right) = \frac{1}{2}\left[u\left(t+1\right)-u\left(t-1\right)\right]

So, what do you have to set tau to, in order to make wiki's expression the same as yours?

 

[electron2]

so tao=2

so its f(t)= [rect(t/2)]/2

correct?

 

[Hootenanny]

so tao=2

so its f(t)= [rect(t/2)]/2

correct?

Indeed it is

 

[electron2]

thanks