laplacetransform 2e^{3t}

Lösung

laplace transformation

2 e^{3 t}

\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}

ma c l a u r in (1 + x)^{\frac{- 3}{2}}

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