What is laplacetransform 6y ?

The answer to laplacetransform 6y is 6/(s^2)

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laplacetransform 6y

laplace transform

6 y

\frac{6}{s ^{2}}

Solution steps

L {6 y}

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)}

= 6 L {y}

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

= 6 \cdot \frac{1}{s ^{2}}

Refine

6 \frac{1}{s ^{2}} : \frac{6}{s ^{2}}

= \frac{6}{s ^{2}}