What is laplacetransform 4t ?

The answer to laplacetransform 4t is 4/(s^2)

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laplacetransform 4t

laplace transform

4 t

\frac{4}{s ^{2}}

Solution steps

L {4 t}

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)}

= 4 L {t}

L {t} : \frac{1}{s ^{2}}

= 4 \cdot \frac{1}{s ^{2}}

Refine

4 \frac{1}{s ^{2}} : \frac{4}{s ^{2}}

= \frac{4}{s ^{2}}

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