What is laplacetransform-5t^4 ?

The answer to laplacetransform-5t^4 is -(120)/(s^5)

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laplacetransform-5t^4

laplace transform

- 5 t^{4}

- \frac{120}{s ^{5}}

Solution steps

L {- 5 t^{4}}

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^{4}}

L {t^{4}} : \frac{24}{s ^{5}}

= - 5 \cdot \frac{24}{s ^{5}}

Refine

- 5 \frac{24}{s ^{5}} : - \frac{120}{s ^{5}}

= - \frac{120}{s ^{5}}

y = arctanh (\frac{1}{x})

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

y = (2 x - 5)^{\frac{1}{3}}

\int_{- 1}^{2} x d x

\frac{\partial}{\partial x} (\frac{1}{2} \cdot x \cdot y^{2})

What is laplacetransform-5t^4 ?
The answer to laplacetransform-5t^4 is -(120)/(s^5)