What is laplacetransform 15t^3 ?

The answer to laplacetransform 15t^3 is (90)/(s^4)

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laplacetransform 15t^3

laplace transform

15 t^{3}

\frac{90}{s ^{4}}

Solution steps

L {15 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)}

= 15 L {t^{3}}

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

= 15 \cdot \frac{6}{s ^{4}}

Refine

15 \frac{6}{s ^{4}} : \frac{90}{s ^{4}}

= \frac{90}{s ^{4}}

f (x) = sin (x cos (x))

t \frac{d y}{d t} + 2 y = sin (t)

\int_{0}^{3} (e^{x}) d x

\int (4 x^{3} + 5 x) e^{x^{2}} d x

\int \frac{x ^{2}}{x ^{3 + 1}} d x

What is laplacetransform 15t^3 ?
The answer to laplacetransform 15t^3 is (90)/(s^4)