What is laplacetransform t-3 ?

The answer to laplacetransform t-3 is 1/(s^2)-3/s

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laplacetransform t-3

laplace transform

t - 3

\frac{1}{s ^{2}} - \frac{3}{s}

Solution steps

L {t - 3}

Use the linearity property of Laplace Transform:

For functions

f (t), g (t)

and constants

a, b : L {a \cdot f (t) + b \cdot g (t)} = a \cdot L {f (t)} + b \cdot L {g (t)}

= L {t} - L {3}

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

L {3} : \frac{3}{s}

= \frac{1}{s ^{2}} - \frac{3}{s}

What is laplacetransform t-3 ?
The answer to laplacetransform t-3 is 1/(s^2)-3/s