What is laplacetransform 2t^3 ?

The answer to laplacetransform 2t^3 is (12)/(s^4)

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laplacetransform 2t^3

laplace transform

2 t^{3}

\frac{12}{s ^{4}}

Solution steps

L {2 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)}

= 2 L {t^{3}}

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

= 2 \cdot \frac{6}{s ^{4}}

Refine

2 \frac{6}{s ^{4}} : \frac{12}{s ^{4}}

= \frac{12}{s ^{4}}

\frac{d}{d x} (sin (x) ln (x^{2} + 1))

\frac{d y}{d x}, tan (x - y) = \frac{y}{1 - x ^{2}}

\int cot (42 x) d x

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

\frac{d}{d x} (3^{x^{3} - x + 1})

What is laplacetransform 2t^3 ?
The answer to laplacetransform 2t^3 is (12)/(s^4)