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Beliebt Rechnen >

laplacetransform 2e^{4t}

Lösung

laplace transformation

2 e^{4 t}

Lösung

\frac{2}{s - 4}

Schritte zur Lösung

L {2 e^{4 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^{4 t}}

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

= 2 \cdot \frac{1}{s - 4}

Fasse

2 \frac{1}{s - 4}

zusammen:

\frac{2}{s - 4}

= \frac{2}{s - 4}

Beliebte Beispiele

t an g e n t x^{4}

integral of 2xe^{2x}

\int 2 x e^{2 x} d x

integral from 1 to 2 of (x^5+5x^8)/(x^4)

\int_{1}^{2} \frac{x ^{5} + 5 x ^{8}}{x ^{4}} d x

derivative of x^{1/3}+2x

\frac{d}{d x} (x^{\frac{1}{3}} + 2 x)

integral from 0 to 9 of sqrt(x)

\int_{0}^{9} x d x