de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

laplacetransform e^{4(t-3)}

Lösung

laplace transformation

e^{4 (t - 3)}

Lösung

\frac{1}{e ^{12} ( s - 4 )}

Schritte zur Lösung

L {e^{4 (t - 3)}}

Schreibe

e^{4 (t - 3)}

um:

e^{4 t - 12}

= L {e^{4 t - 12}}

Verwende die konstante Multiplikationseigenschaft der Laplace-Transformation:

For function

f (t)

and constant

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

= e^{- 12} L {e^{4 t}}

L {e^{4 t}} : \frac{1}{s - 4}

= e^{- 12} \frac{1}{s - 4}

Fasse

e^{- 12} \frac{1}{s - 4}

zusammen:

\frac{1}{e ^{12} ( s - 4 )}

= \frac{1}{e ^{12} ( s - 4 )}

Beliebte Beispiele

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

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

integral of 1/(1-5x)

\int \frac{1}{1 - 5 x} d x

(dr)/(dθ)r=(7+sec(θ))sin(θ)

\frac{d r}{d θ} r = (7 + sec (θ)) sin (θ)

derivative x^2sqrt(3x+5)

d er i v a t i v e x^{2} 3 x + 5

integral of x/((x^2+7)^2)

\int \frac{x}{( x ^{2} + 7 ) ^{2}} d x