What is laplacetransform (t^3)/(24) ?

The answer to laplacetransform (t^3)/(24) is 1/(4s^4)

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laplacetransform (t^3)/(24)

laplace transform

\frac{t ^{3}}{24}

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

Solution steps

L {\frac{t ^{3}}{24}}

Use the constant multiplication property of Laplace Transform:

For function

f (t)

and constant

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

= \frac{1}{24} L {t^{3}}

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

= \frac{1}{24} \cdot \frac{6}{s ^{4}}

Refine

\frac{1}{24} \frac{6}{s ^{4}} : \frac{1}{4 s ^{4}}

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

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What is laplacetransform (t^3)/(24) ?
The answer to laplacetransform (t^3)/(24) is 1/(4s^4)