What is laplacetransform (et^4)/(24) ?

The answer to laplacetransform (et^4)/(24) is e/(s^5)

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laplacetransform (et^4)/(24)

laplace transform

\frac{e t ^{4}}{24}

\frac{e}{s ^{5}}

Solution steps

L {\frac{e t ^{4}}{24}}

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)}

= \frac{e}{24} L {t^{4}}

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

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

Refine

\frac{e}{24} \frac{24}{s ^{5}} : \frac{e}{s ^{5}}

= \frac{e}{s ^{5}}

\frac{d x}{d t} + x e^{t} = 1 - x

(5, - 6), (8, - 4)

x \to 0 lim (1 - 3 x)

x y^{^{'}} + \frac{1}{2} y = x

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

What is laplacetransform (et^4)/(24) ?
The answer to laplacetransform (et^4)/(24) is e/(s^5)