What is laplacetransform 10t^3e^{-2t} ?

The answer to laplacetransform 10t^3e^{-2t} is (60)/((s+2)^4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

laplacetransform 10t^3e^{-2t}

laplace transform

10 t^{3} e^{- 2 t}

\frac{60}{( s + 2 ) ^{4}}

Solution steps

L {10 e^{- 2 t} 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)}

= 10 L {t^{3} e^{- 2 t}}

L {t^{3} e^{- 2 t}} : \frac{6}{( s + 2 ) ^{4}}

= 10 \cdot \frac{6}{( s + 2 ) ^{4}}

Refine

10 \frac{6}{( s + 2 ) ^{4}} : \frac{60}{( s + 2 ) ^{4}}

= \frac{60}{( s + 2 ) ^{4}}

What is laplacetransform 10t^3e^{-2t} ?
The answer to laplacetransform 10t^3e^{-2t} is (60)/((s+2)^4)