What is laplacetransform t*1 ?

The answer to laplacetransform t*1 is 1/(s^2)

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laplacetransform t*1

laplace transform

t \cdot 1

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

Solution steps

L {1 \cdot 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)}

= 1 L {t}

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

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

Refine

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

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

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