What is laplacetransform 5t^2 ?

The answer to laplacetransform 5t^2 is (10)/(s^3)

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laplacetransform 5t^2

laplace transform

5 t^{2}

\frac{10}{s ^{3}}

Solution steps

L {5 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)}

= 5 L {t^{2}}

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

= 5 \cdot \frac{2}{s ^{3}}

Refine

5 \frac{2}{s ^{3}} : \frac{10}{s ^{3}}

= \frac{10}{s ^{3}}

x \to - 6 - lim (\frac{∣ x + 6 ∣}{x + 6})

\int_{0}^{1} (x^{2} + 1) d x

\frac{\partial}{\partial x} (- 5 y^{4} sin (5 x))

\frac{d y}{d x} = \frac{3 x - 9}{2 x + 8}

x \to 0 lim (\frac{1 - e ^{- 2 x}}{x})

What is laplacetransform 5t^2 ?
The answer to laplacetransform 5t^2 is (10)/(s^3)