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Beliebt Rechnen >

laplacetransform 2e^{-3t}

Lösung

laplace transformation

2 e^{- 3 t}

Lösung

\frac{2}{s + 3}

Schritte zur Lösung

L {2 e^{- 3 t}}

Verwende die konstante Multiplikationseigenschaft der Laplace-Transformation:

For function

f (t)

and constant

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

= 2 L {e^{- 3 t}}

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

= 2 \cdot \frac{1}{s + 3}

Fasse

2 \frac{1}{s + 3}

zusammen:

\frac{2}{s + 3}

= \frac{2}{s + 3}

Beliebte Beispiele

integral of 17x^2sin(pix)

\int 17 x^{2} sin (π x) d x

integral of-sqrt(x)+1

\int - x + 1 d x

limit as x approaches 1 of ax^2+bx+1

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

derivative f(x)=-2t^2+3t-6

d er i v a t i v e f (x) = - 2 t^{2} + 3 t - 6

derivative of (dy/(dx))+y=1

\frac{d}{d x} (\frac{d y}{d x}) + y = 1