What is laplacetransform 3(t-pi) ?

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

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laplacetransform 3(t-pi)

laplace transform

3 (t - π)

\frac{3}{s ^{2}} - \frac{3 π}{s}

Solution steps

L {3 (t - π)}

Expand

3 (t - π) : 3 t - 3 π

= L {3 t - 3 π}

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)}

= 3 L {t} - L {3 π}

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

L {3 π} : \frac{3 π}{s}

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

Refine

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

= \frac{3}{s ^{2}} - \frac{3 π}{s}

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