de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

laplacetransform e^{-2t}cos(t)

Lösung

laplace transformation

e^{- 2 t} cos (t)

Lösung

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

Schritte zur Lösung

L {e^{- 2 t} cos (t)}

Wende Transformationsregel an: wenn

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

dann

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

Für

e^{- 2 t} cos (t) : f (t) = cos (t), a = - 2

= L {cos (t)} (s + 2)

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

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

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

Beliebte Beispiele

integral of 7/(x+3)

\int \frac{7}{x + 3} d x

integral of (sin(x))^5cos(x)

\int (sin (x))^{5} cos (x) d x

derivative of arccsc(-9x^2)

\frac{d}{d x} (arccsc (- 9 x^{2}))

t a y l or 8 x e^{x}

slopeintercept (1,1),(-1,2)

s l o p e in t erce pt (1, 1), (- 1, 2)