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Beliebt Rechnen >

laplacetransform e^{5(t-2)}

Lösung

laplace transformation

e^{5 (t - 2)}

Lösung

\frac{1}{e ^{10} ( s - 5 )}

Schritte zur Lösung

L {e^{5 (t - 2)}}

Schreibe

e^{5 (t - 2)}

um:

e^{5 t - 10}

= L {e^{5 t - 10}}

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^{- 10} L {e^{5 t}}

L {e^{5 t}} : \frac{1}{s - 5}

= e^{- 10} \frac{1}{s - 5}

Fasse

e^{- 10} \frac{1}{s - 5}

zusammen:

\frac{1}{e ^{10} ( s - 5 )}

= \frac{1}{e ^{10} ( s - 5 )}

Beliebte Beispiele

derivative 1/3 pir^2h

d er i v a t i v e \frac{1}{3} π r^{2} h

integral from 0 to sqrt(3 of)sqrt(x^2+9)

\int_{0}^{3} x^{2} + 9 d x

derivative of 1/(4x^2)

\frac{d}{d x} (\frac{1}{4 x ^{2}})

derivative of (x^2-3/(x^2+1))

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

integral from 1 to 5 of t^3ln(4t)

\int_{1}^{5} t^{3} ln (4 t) d t