The Laplace transform of f (t) = 2\sqrt{\frac{t}{\pi }} is s^{−\frac{3}{2}}. The Laplace transform of g (t) = \sqrt{\frac{1}{\pi t}} is

\binom{3s^{−\frac{5}{2}}}/{2}

GATE Electrical Engineering (EE) 2015 Shift 2 Solved Paper

Question : 14 of 65

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The Laplace transform of

f (t) = 2√{\;{t}/{π\;}}

s^{−\;{3}/{2}}

. The Laplace transform of

g (t) = √{\;{1}/{π\;t}}

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