ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある微分積分 >

inverselaplace 2/((s+1)^3)

解

逆ラプラス

\frac{2}{( s + 1 ) ^{3}}

解

e^{- t} t^{2}

解答ステップ

L^{- 1} {\frac{2}{( s + 1 ) ^{3}}}

逆変換ルールを適用:

L^{- 1} {F (s)} = f (t)

ならば

L^{- 1} {F (s - a)} = e^{a t} f (t)

\frac{2}{( s + 1 ) ^{3}}

向け

: a = - 1, F (s) = \frac{2}{s ^{3}}

= e^{- t} L^{- 1} {\frac{2}{s ^{3}}}

L^{- 1} {\frac{2}{s ^{3}}} : t^{2}

= e^{- t} t^{2}

人気の例

derivative of xe^{y/x}

\frac{d}{d x} (x e^{\frac{y}{x}})

limit as x approaches 1 of (1-x)^2+2

x \to 1 lim ((1 - x)^{2} + 2)

derivative of (2160/(x^2))

\frac{d}{d x} (\frac{2160}{x ^{2}})

limit as x approaches infinity of 4/0

x \to \infty lim (\frac{4}{0})

integral from 0 to 4 of x^2(0.5-0.125x)

\int_{0}^{4} x^{2} (0.5 - 0.125 x) d x