What is inverse oflaplace 2/(s(s+2)+2) ?

The answer to inverse oflaplace 2/(s(s+2)+2) is 2e^{-t}sin(t)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

inverse oflaplace 2/(s(s+2)+2)

inverse laplace

\frac{2}{s ( s + 2 ) + 2}

2 e^{- t} sin (t)

Solution steps

L^{- 1} {\frac{2}{s ( s + 2 ) + 2}}

Use the constant multiplication property of Inverse Laplace Transform:

For function

f (t)

and constant

a : L^{- 1} {a \cdot f (t)} = a \cdot L^{- 1} {f (t)}

= 2 L^{- 1} {\frac{1}{s ( s + 2 ) + 2}}

L^{- 1} {\frac{1}{s ( s + 2 ) + 2}} : e^{- t} sin (t)

= 2 e^{- t} sin (t)

What is inverse oflaplace 2/(s(s+2)+2) ?
The answer to inverse oflaplace 2/(s(s+2)+2) is 2e^{-t}sin(t)