Laplace transforms....

[jmcoreymv]

Lets say there is some function x(t) whos laplace transform is X(s) = 4s / (s^2 + 2)^2

I know how to find x(2t), x'(t) and x(t-2) but my question is what is the order of operations if there are multiple steps? Lets say I wanted to find x'(2(t-1)). Would I first find x'(t), and then time shift it, and then time scale it?

 

[Yossarian]

hahaha I'm so happy I don't have to know that sh!t anymore 😉

 

[blahblah99]

You break that transfer function up into two fractions and find the inverse of each individual one.

 

[chuckywang]

do it in the order from the inside parantheses to the outside......in your example, find let x(t-1), and then scale THAT result.

 

[jmcoreymv]

But do i first find the derivative function?

 

[Gibson486]

I use to be so good at Laplace by the time my Diff Q. equation final came around....then I did it again a semster later in circuits....what a disaster....What can I say, I tip my cap and call Circuits my daddy.

 

[Gibson486]

Originally posted by: jmcoreymv
But do i first find the derivative function?

if I remember correctly, yes, you would derive first.

 

[ActuaryTm]

Please excuse my dear Aunt Sally.