de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

laplacetransform e^{-3t}sin(t)

Lösung

laplace transformation

e^{- 3 t} sin (t)

Lösung

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

Schritte zur Lösung

L {e^{- 3 t} sin (t)}

Wende Transformationsregel an: wenn

L {f (t)} = F (s)

dann

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

Für

e^{- 3 t} sin (t) : f (t) = sin (t), a = - 3

= L {sin (t)} (s + 3)

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

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

Beliebte Beispiele

(dy)/(dx)=((-2y)/((x-2)))

\frac{d y}{d x} = (\frac{- 2 y}{( x - 2 )})

limit as x approaches 0+of-1

x \to 0 + lim (- 1)

integral of 6(x+2)

\int 6 (x + 2) d x

limit as x approaches 0 of x/(sqrt(x^2))

x \to 0 lim (\frac{x}{x ^{2}})

integral of (ax+b)/(a^2x^2+b^2)

\int \frac{a x + b}{a ^{2} x ^{2} + b ^{2}} d x