What is laplacetransform-2t^2 ?

The answer to laplacetransform-2t^2 is -4/(s^3)

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laplacetransform-2t^2

laplace transform

- 2 t^{2}

- \frac{4}{s ^{3}}

Solution steps

L {- 2 t^{2}}

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)}

= - 2 L {t^{2}}

L {t^{2}} : \frac{2}{s ^{3}}

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

Refine

- 2 \frac{2}{s ^{3}} : - \frac{4}{s ^{3}}

= - \frac{4}{s ^{3}}

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