What is inverse oflaplace ((e^{-3s}))/(s^2) ?

The answer to inverse oflaplace ((e^{-3s}))/(s^2) is \H(t-3)(t-3)

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inverse oflaplace ((e^{-3s}))/(s^2)

inverse laplace

\frac{( e ^{- 3 s} )}{s ^{2}}

H (t - 3) (t - 3)

Solution steps

L^{- 1} {\frac{( e ^{- 3 s} )}{s ^{2}}}

Apply inverse transform rule:

L^{- 1} {F (s)} = f (t)

then

L^{- 1} {e^{- a s} F (s)} = H (t - a) f (t - a)

Where

H (t)

is Heaviside step function

= H (t - 3) L^{- 1} {\frac{1}{s ^{2}}} (t - 3)

L^{- 1} {\frac{1}{s ^{2}}} : t

= H (t - 3) (t - 3)

What is inverse oflaplace ((e^{-3s}))/(s^2) ?
The answer to inverse oflaplace ((e^{-3s}))/(s^2) is \H(t-3)(t-3)