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Q2. Using I(1/2) = √√, show that 2 ( 1 ) = √² L S

Q2. Using I(1/2) = √√, show that 2 ( 1 ) = √² L S

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Q2.** Using \(\Gamma(1/2) = \sqrt{\pi}\), show that \[ \mathcal{L} \left( \frac{1}{\sqrt{t}} \right) = \frac{\sqrt{\pi}}{s} \] There are no graphs or diagrams included.
Transcribed Image Text:**Q2.** Using \(\Gamma(1/2) = \sqrt{\pi}\), show that \[ \mathcal{L} \left( \frac{1}{\sqrt{t}} \right) = \frac{\sqrt{\pi}}{s} \] There are no graphs or diagrams included.
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Step 1: Find the Laplace transform of the function

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