What is laplacetransform-8x ?

The answer to laplacetransform-8x is -8/(s^2)

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laplacetransform-8x

laplace transform

- 8 x

- \frac{8}{s ^{2}}

Solution steps

L {- 8 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)}

= - 8 L {x}

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

= - 8 \cdot \frac{1}{s ^{2}}

Refine

- 8 \frac{1}{s ^{2}} : - \frac{8}{s ^{2}}

= - \frac{8}{s ^{2}}