What is laplacetransform f(t)=2t^4 ?

The answer to laplacetransform f(t)=2t^4 is (48)/(s^5)

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laplacetransform f(t)=2t^4

laplace transform

f (t) = 2 t^{4}

\frac{48}{s ^{5}}

Solution steps

L {2 t^{4}}

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)}

= 2 L {t^{4}}

L {t^{4}} : \frac{24}{s ^{5}}

= 2 \cdot \frac{24}{s ^{5}}

Refine

2 \frac{24}{s ^{5}} : \frac{48}{s ^{5}}

= \frac{48}{s ^{5}}

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What is laplacetransform f(t)=2t^4 ?
The answer to laplacetransform f(t)=2t^4 is (48)/(s^5)