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Beliebt Rechnen >

laplacetransform-4e^t

Lösung

laplace transformation

- 4 e^{t}

Lösung

- \frac{4}{s - 1}

Schritte zur Lösung

L {- 4 e^{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)}

= - 4 L {e^{t}}

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

= - 4 \cdot \frac{1}{s - 1}

Fasse

- 4 \frac{1}{s - 1}

zusammen:

- \frac{4}{s - 1}

= - \frac{4}{s - 1}

Beliebte Beispiele

integral of 1+sin(2x)

\int 1 + sin (2 x) d x

derivative of arctan(((x-1)/(x+1)))

\frac{d}{d x} (arctan (\frac{( x - 1 )}{x + 1}))

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

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

derivative of 2sqrt(x+8)

\frac{d}{d x} (2 x + 8)

derivative e^{4x}*4

d er i v a t i v e e^{4 x} \cdot 4