Engineering Math: Laplace Transform

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SUMMARY

The discussion centers on the technique of partial fractions used to simplify algebraic expressions, specifically in the context of Laplace transforms. Participants clarify that the left-hand side (LHS) can be expressed as A/(3s+1) + B/(3s-1) and that solving for A and B does not require setting the LHS to zero. The term "partial fractions" is confirmed as the correct terminology for this algebraic method. Multiple users suggest that various online resources provide further explanations of this technique.

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  • Basic skills in solving equations
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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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