What is laplacetransform 7t^2 ?

The answer to laplacetransform 7t^2 is (14)/(s^3)

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laplacetransform 7t^2

laplace transform

7 t^{2}

\frac{14}{s ^{3}}

Solution steps

L {7 t^{2}}

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^{2}}

L {t^{2}} : \frac{2}{s ^{3}}

= 7 \cdot \frac{2}{s ^{3}}

Refine

7 \frac{2}{s ^{3}} : \frac{14}{s ^{3}}

= \frac{14}{s ^{3}}

What is laplacetransform 7t^2 ?
The answer to laplacetransform 7t^2 is (14)/(s^3)