What is laplacetransform-5t^3 ?

The answer to laplacetransform-5t^3 is -(30)/(s^4)

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laplacetransform-5t^3

laplace transform

- 5 t^{3}

- \frac{30}{s ^{4}}

Solution steps

L {- 5 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)}

= - 5 L {t^{3}}

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

= - 5 \cdot \frac{6}{s ^{4}}

Refine

- 5 \frac{6}{s ^{4}} : - \frac{30}{s ^{4}}

= - \frac{30}{s ^{4}}

\frac{y ^{^{'}}}{1 + y ^{2}} + \frac{t}{e ^{t^{2}}} = 0, y (0) = 1

\frac{d}{d x} (\frac{11}{x})

\int 2 x (x^{2} - 7)^{6} d x

\int_{\frac{1}{7}}^{3} 12 x ln (7 x) d x

What is laplacetransform-5t^3 ?
The answer to laplacetransform-5t^3 is -(30)/(s^4)