Engineering Math: Laplace Transform

AI Thread Summary
The discussion clarifies the process of simplifying an equation using partial fractions, not Laplace transforms. Participants explain how to set the left-hand side (LHS) to A/(3s+1) + B/(3s-1) and solve for constants A and B. It is emphasized that the LHS does not need to equal zero for this method. Several resources for further explanation of partial fractions are suggested. The conversation concludes with participants expressing gratitude for the clarification.
whatphysics
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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!
 

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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.
 
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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.
 
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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!
 

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