What is laplacetransform H^{1/2} ?

The answer to laplacetransform H^{1/2} is (sqrt(pi))/(2s^{3/2)}

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laplacetransform H^{1/2}

laplace transform

H^{\frac{1}{2}}

\frac{π}{2 s ^{\frac{3}{2}}}

Solution steps

L {H^{\frac{1}{2}}}

Use Laplace Transform table:

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

L {H^{\frac{1}{2}}} = \frac{1 \cdot π}{2 ^{1} s ^{\frac{3}{2}}}

= \frac{1 \cdot π}{2 ^{1} s ^{\frac{3}{2}}}

= \frac{π}{2 s ^{\frac{3}{2}}}

w \to 3 lim (\frac{( w - 3 )}{( 2 w ^{2} - w - 15 )})

x^{2} y^{^{'}} = x y + 2 x^{2} e^{\frac{y}{x}}

f (x) = - \frac{1}{1 - x}

\frac{\partial}{\partial x} (- sin^{2} (x))

\frac{d}{d x} (arcsin (f (x)))

What is laplacetransform H^{1/2} ?
The answer to laplacetransform H^{1/2} is (sqrt(pi))/(2s^{3/2)}