Engineering Math: Laplace Transform

Click For Summary

Discussion Overview

The discussion revolves around the clarification of a mathematical simplification involving Laplace transforms, specifically how one participant transitioned from a left-hand side (LHS) equation to a right-hand side (RHS) expression. The focus is on understanding the steps involved in this simplification process, which some participants believe relates to the technique of partial fractions.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant seeks clarification on the simplification process from LHS to RHS in a Laplace transform context, indicating difficulty in understanding the steps involved.
  • Another participant suggests that the operation is not a Laplace transform but rather an algebraic separation of constants, mentioning the need to set the LHS to a specific form and solve for constants A and B.
  • Several participants identify the technique as partial fractions, noting that the LHS does not necessarily need to equal zero for this method to apply.
  • Participants express gratitude for the identification of the technique, indicating a collaborative effort to clarify terminology and methods.

Areas of Agreement / Disagreement

Participants generally agree on the identification of the technique as partial fractions, though there is some uncertainty regarding the specific conditions under which it applies. The discussion does not reach a consensus on the exact nature of the original problem or the necessity of setting the LHS to zero.

Contextual Notes

The discussion lacks detailed mathematical steps for the simplification process, and the assumptions regarding the conditions for applying partial fractions are not fully explored.

whatphysics
Messages
29
Reaction score
2
Not homework question, just need clarification and explanation. How did the person get from the left equation to the right side. I know he's just simplifying. But he didn't include steps and I've been trying to work out how to no avail. Any help on how this person simplified the LHS to RHS? Thanks!
 

Attachments

  • IMG_5436.JPG
    IMG_5436.JPG
    18.3 KB · Views: 462
Engineering news on Phys.org
Not a Laplace transform it is an algebraic separation of constants. I forget what they call it.

Set LHS to A/(3s+1) +B/(3s-1) then solve for A and B for values when LHS=0.
 
  • Like
Likes   Reactions: whatphysics
I think it is called partial fractions, as R.PR.R said (except that LHS does not need to be 0).
You can find several explanations of the technique on the web.
 
  • Like
Likes   Reactions: whatphysics
Merlin3189 said:
I think it is called partial fractions, as R.PR.R said (except that LHS does not need to be 0).
You can find several explanations of the technique on the web.
That's it Merlin! Thanks. The name eluded me.
 
RomegaPRogRess said:
Not a Laplace transform it is an algebraic separation of constants. I forget what they call it.

Set LHS to A/(3s+1) +B/(3s-1) then solve for A and B for values when LHS=0.
Great thanks!
 
RomegaPRogRess said:
That's it Merlin! Thanks. The name eluded me.
Merlin3189 said:
I think it is called partial fractions, as R.PR.R said (except that LHS does not need to be 0).
You can find several explanations of the technique on the web.
Great thanks!
 

Similar threads

Undergrad What is the most impactful way of introducing Laplace transforms?
  • · Replies 6 ·
Replies
6
Views
1K
Undergrad Why is the heaviside function in the inverse Laplace transform of 1?
  • · Replies 8 ·
Replies
8
Views
4K
Laplace transform in electrical engineering
  • · Replies 5 ·
Replies
5
Views
4K
Why is impedance given as a simple Ohms unit when it's frequency dependent?
  • · Replies 10 ·
Replies
10
Views
3K
Graduate Laplace transform in spherical coordinates
  • · Replies 3 ·
Replies
3
Views
3K
Laplace plane meaning in control engineering ?
  • · Replies 6 ·
Replies
6
Views
5K
Transformer without separate primary and secondary windings....
  • · Replies 14 ·
Replies
14
Views
3K
Complex Analysis and Transforms
  • · Replies 2 ·
Replies
2
Views
2K
Laplace Transforms and Phasors in Circuit Analysis
  • · Replies 6 ·
Replies
6
Views
11K
Control theory: block diagram, problem (detailed below)
  • · Replies 4 ·
Replies
4
Views
3K