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Question: How do solve this Laplace Transform?

Question:How do solve this Laplace Transform?

jeffreyrdavis75 30 Maple
laplace inttrans incomplete-question
July 18 2021
2

Let a,b,c,d and E be constants.

Prove that Laplace{at^-c+bt^-d} = E{as^-c+bs^-d}

if and only if c+d=1 and E= +or-  sqr(pi*csc(c*pi))

Given the property of Gamma:

Gamma(p)Gamma(1-p)=pi/(sin(p*pi)), 0<p<1

This is from an old Schaums outline on Laplace Transforms.

By hand i get  E{as^-d+bs^-c}.

Cant figure out how to get Maple to express this.
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