What is laplacetransform-6t^3 ?

The answer to laplacetransform-6t^3 is -(36)/(s^4)

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laplacetransform-6t^3

laplace transform

- 6 t^{3}

- \frac{36}{s ^{4}}

Solution steps

L {- 6 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)}

= - 6 L {t^{3}}

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

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

Refine

- 6 \frac{6}{s ^{4}} : - \frac{36}{s ^{4}}

= - \frac{36}{s ^{4}}

f (x) = x^{3} + 6 x^{2} + x

y^{^{''}} + 2 y^{^{'}} + 10 y = 3 e^{t} + 1

\int 2050 - 18 x - 4 x^{2} d x

- y^{^{'}} + \frac{4 y}{x} = x^{3} y^{2}

f (x) = \frac{3}{x}, at x = - 4

What is laplacetransform-6t^3 ?
The answer to laplacetransform-6t^3 is -(36)/(s^4)