What is inverse oflaplace-1/(s^4) ?

The answer to inverse oflaplace-1/(s^4) is -(t^3)/6

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inverse oflaplace-1/(s^4)

inverse laplace

- \frac{1}{s ^{4}}

- \frac{t ^{3}}{6}

Solution steps

L^{- 1} {- \frac{1}{s ^{4}}}

Use the constant multiplication property of Inverse Laplace Transform:

For function

f (t)

and constant

a : L^{- 1} {a \cdot f (t)} = a \cdot L^{- 1} {f (t)}

= - L^{- 1} {\frac{1}{s ^{4}}}

L^{- 1} {\frac{1}{s ^{4}}} : \frac{t ^{3}}{6}

= - \frac{t ^{3}}{6}

What is inverse oflaplace-1/(s^4) ?
The answer to inverse oflaplace-1/(s^4) is -(t^3)/6