What is laplacetransform e^{-pi/2 t} ?

The answer to laplacetransform e^{-pi/2 t} is 2/(2s+pi)

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laplacetransform e^{-pi/2 t}

laplace transform

e^{- \frac{π}{2} t}

\frac{2}{2 s + π}

Solution steps

L {e^{- \frac{π}{2} t}}

Use Laplace Transform table:

L {e^{a t}} = \frac{1}{s - a}

L {e^{- \frac{π}{2} t}} = \frac{1}{s + \frac{π}{2}}

= \frac{1}{s + \frac{π}{2}}

= \frac{2}{2 s + π}

\int e^{\frac{1}{2} x^{2}} \cdot x^{3} d x

\frac{d}{d x} ((4 + x^{2})^{- 1})

\int (x^{8} - \frac{2 x ^{5}}{7} - 5) d x

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

d y = (x - 2 x y) d x

What is laplacetransform e^{-pi/2 t} ?
The answer to laplacetransform e^{-pi/2 t} is 2/(2s+pi)