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Find the constants in partial fractions?

Chiel Geeraert
Posted 8 years ago

I have this quotiënt split in partial fractions as following :

(s^2 + 3) / ((s - 1)^2 (s + 1)) ==  A1 / (s - 1) + A2 / (s - 1)^2  + A3 / (s + 1)

Is there an easy way to find the constants ? I tried several things with Solve but without succes.

Thank you very much
POSTED BY: Chiel Geeraert
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Chiel Geeraert
Chiel Geeraert
Posted 8 years ago
POSTED BY: Chiel Geeraert
Michael Helmle
Michael Helmle
Posted 8 years ago 
eq1 = (s^2 + 3)/((s - 1)^2 (s + 1)) ==  A1/(s - 1) + A2/(s - 1)^2 + A3/(s + 1)

sol = SolveAlways[eq1, s][[1]]

(* {A2\[Rule]2,A3\[Rule]1,A1\[Rule]0}*)

Simplify[eq1 /. sol]
POSTED BY: Michael Helmle
POSTED BY: Tim Laska
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