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Inverse Laplace Transform
Posted:
Apr 7, 2010 7:26 AM


Hi,
I need to find an inverse Laplace transform of the expression:
Sqrt[s*(s+a)]/(sb)
where "s" is the Laplace variable, "a" is a real positive constant, and "b" is a real constant that can be either positive or negative. I have tried the InverseLaplaceTransform[] function, but it returns the original expression. My question is: does this mean that the inverse transform does not exist, or only Mathematica cannot find it? Also, if anybody knows where I could possibly find the inverse in any book, or how I might obtain the inverse otherwise, I would appreciate an information. Abramowitz and Stegun book does not have it.
Leslaw



