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Beliebt Rechnen >

laplacetransform e^{(-2(t-3))}

Lösung

laplace transformation

e^{(- 2 (t - 3))}

Lösung

\frac{e ^{6}}{s + 2}

Schritte zur Lösung

L {e^{(- 2 (t - 3))}}

Schreibe

e^{- 2 (t - 3)}

um:

e^{- 2 t + 6}

= L {e^{- 2 t + 6}}

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^{6} L {e^{- 2 t}}

L {e^{- 2 t}} : \frac{1}{s + 2}

= e^{6} \frac{1}{s + 2}

Fasse

e^{6} \frac{1}{s + 2}

zusammen:

\frac{e ^{6}}{s + 2}

= \frac{e ^{6}}{s + 2}

Beliebte Beispiele

integral of (x^4-2x^3+1)/(x^2)

\int \frac{x ^{4} - 2 x ^{3} + 1}{x ^{2}} d x

derivative f(x)=(3x)^{2x}

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

derivative ((3x^2+2x+7))/((x+1))

d er i v a t i v e \frac{( 3 x ^{2} + 2 x + 7 )}{( x + 1 )}

derivative of (x^2+5x-3^3)

\frac{d}{d x} ((x^{2} + 5 x - 3)^{3})

fläche f(x)=sin(x),0,pi

a re a f (x) = sin (x), 0, π