What is laplacetransform 1/2 t ?

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

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laplacetransform 1/2 t

laplace transform

\frac{1}{2} t

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

Solution steps

L {\frac{1}{2} 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)}

= \frac{1}{2} L {t}

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

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

Refine

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

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

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