1.

Find the inverse Laplace transform for X(s) = \(ln ⁡(\frac{s+a}{s+b})\).

A. \(\frac{e^{-at} – e^{-bt}}{t}\)
B. \(\frac{e^{-bt} – e^{-at}}{t}\)
C. \(\frac{e^{-at} + e^{-bt}}{t}\)
D. \(\frac{e^{bt} + e^{-at}}{t}\)
Answer» C. \(\frac{e^{-at} + e^{-bt}}{t}\)


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