What is laplacetransform 7t^3 ?

The answer to laplacetransform 7t^3 is (42)/(s^4)

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laplacetransform 7t^3

laplace transform

7 t^{3}

\frac{42}{s ^{4}}

Solution steps

L {7 t^{3}}

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)}

= 7 L {t^{3}}

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

= 7 \cdot \frac{6}{s ^{4}}

Refine

7 \frac{6}{s ^{4}} : \frac{42}{s ^{4}}

= \frac{42}{s ^{4}}

What is laplacetransform 7t^3 ?
The answer to laplacetransform 7t^3 is (42)/(s^4)