The Inverse Laplace Transform
The partial fraction expansion of this is Y(s) = 3s2 −28 (s − 4) s2 +4 = A s − + Bs +C s2 +4 for some constants A, B and C . There are many ways to find these constants. The basic method is to “undo” the partial fraction expansion by getting a common denominator and adding up the fractions on the right: 3s2 −28 ( s−4) s2 +4 = A ...
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