What is laplacetransform 20t^3 ?

The answer to laplacetransform 20t^3 is (120)/(s^4)

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laplacetransform 20t^3

laplace transform

20 t^{3}

\frac{120}{s ^{4}}

Solution steps

L {20 t^{3}}

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^{3}}

L {t^{3}} : \frac{6}{s ^{4}}

= 20 \cdot \frac{6}{s ^{4}}

Refine

20 \frac{6}{s ^{4}} : \frac{120}{s ^{4}}

= \frac{120}{s ^{4}}

y = sin^{2} (x^{2})

\frac{\partial}{\partial x} (ln (4 x^{2} + y^{2} + 2))

\int \frac{x ^{2}}{2} - \frac{2}{x ^{2}} d x

\frac{d y}{d x} = \frac{( y - 2 )}{( y - 1 )}

\frac{d}{d x} (\frac{4}{sec ( x )})

What is laplacetransform 20t^3 ?
The answer to laplacetransform 20t^3 is (120)/(s^4)