In 41 and 42 and the fact that to find the Laplace

Chapter 7, Problem 43E

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QUESTION:

In Problems 43–46 use Problems 41 and 42 and the fact that \(\Gamma\left(\frac{1}{2}\right)=\sqrt{\pi}\) to find the Laplace transform of the given function.

\(f(t)=t^{-1 / 2}\)

Text Transcription:

Gamma(frac12)=sqrtpi

f(t)=t^-1/2

Questions & Answers

QUESTION:

In Problems 43–46 use Problems 41 and 42 and the fact that \(\Gamma\left(\frac{1}{2}\right)=\sqrt{\pi}\) to find the Laplace transform of the given function.

\(f(t)=t^{-1 / 2}\)

Text Transcription:

Gamma(frac12)=sqrtpi

f(t)=t^-1/2

ANSWER:

Step 1 of 3

In this problem we need to find the Laplace transform of the given function

          

 

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