What is laplacetransform 20t^2 ?

The answer to laplacetransform 20t^2 is (40)/(s^3)

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laplacetransform 20t^2

laplace transform

20 t^{2}

\frac{40}{s ^{3}}

Solution steps

L {20 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)}

= 20 L {t^{2}}

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

= 20 \cdot \frac{2}{s ^{3}}

Refine

20 \frac{2}{s ^{3}} : \frac{40}{s ^{3}}

= \frac{40}{s ^{3}}

x \to 17 lim (x^{2} - 3 x + 1)

d er i v a t i v e \frac{1}{3} (x^{2} + 2)^{\frac{3}{2}}

\int \frac{256}{x ^{3} - 16 x ^{2}} d x

\frac{d}{d x} (4 x + 7)

in v erse l a pl a ce \frac{1}{s ^{4} - 9}

What is laplacetransform 20t^2 ?
The answer to laplacetransform 20t^2 is (40)/(s^3)