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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

laplacetransform 10e^{-10t}

laplace transform

10 e^{- 10 t}

\frac{10}{s + 10}

Solution steps

L {10 e^{- 10 t}}

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 {e^{- 10 t}}

L {e^{- 10 t}} : \frac{1}{s + 10}

= 10 \cdot \frac{1}{s + 10}

Refine

10 \frac{1}{s + 10} : \frac{10}{s + 10}

= \frac{10}{s + 10}

d er i v a t i v e f (x) = ln (x^{4})

\int cos (\frac{1}{3} x) d x

in v erse l a pl a ce \frac{1}{( s - 7 ) ^{3}}

x \to \infty lim (1^{2 x})

\int x^{3} \cdot 2^{- x} d x

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