What is laplacetransform 1/(sqrt(t)) ?

The answer to laplacetransform 1/(sqrt(t)) is sqrt(pi/s)

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laplacetransform 1/(sqrt(t))

laplace transform

\frac{1}{t}

\frac{π}{s}

Solution steps

L {\frac{1}{t}}

Use Laplace Transform table:

L {t^{n - 1/2}} = \frac{( 2 n - 1 ) !! π}{2 ^{n} s ^{n + 1/2}}

L {\frac{1}{t}} = \frac{1 \cdot π}{2 ^{0} s}

= \frac{1 \cdot π}{2 ^{0} s}

= \frac{π}{s}

What is laplacetransform 1/(sqrt(t)) ?
The answer to laplacetransform 1/(sqrt(t)) is sqrt(pi/s)