What is laplacetransform 4t^4 ?

The answer to laplacetransform 4t^4 is (96)/(s^5)

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laplacetransform 4t^4

laplace transform

4 t^{4}

\frac{96}{s ^{5}}

Solution steps

L {4 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)}

= 4 L {t^{4}}

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

= 4 \cdot \frac{24}{s ^{5}}

Refine

4 \frac{24}{s ^{5}} : \frac{96}{s ^{5}}

= \frac{96}{s ^{5}}

\frac{d}{d x} (\frac{x ^{n}}{( 1 + x ) ^{n}})

\frac{d}{d x} (ln (x) - x)

\int - 2 sin (x) - 10 cos (x) d x

\int e^{6 x - 3} d x

f (x) = x (36 + x^{2})^{- \frac{1}{2}}, at x = 0

What is laplacetransform 4t^4 ?
The answer to laplacetransform 4t^4 is (96)/(s^5)