Partial Fraction Decomposition for Inverse Laplace Trans- form
(s−S)2, where S is the repeated root of as2 +bs+c = 0. Further examples?? s2 = A 1 s +B 1 s2,?? s2 +6s+9 = A 1 s +3 +B 1 (s+3)2. Note that for the cases a) and b) you will need to use the first formula in (2) for the Inverse Laplace Transform. b) as2 +bs +c = 0 has two complex roots. Example?? s2 − 2s+5 = A s−1 (s− 1)2 +4 +B 2 (s− 1 ... ................
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