What is laplacetransform 3x ?

The answer to laplacetransform 3x is 3/(s^2)

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laplacetransform 3x

laplace transform

3 x

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

Solution steps

L {3 x}

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)}

= 3 L {x}

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

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

Refine

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

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

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