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Beliebt Rechnen >

laplacetransform e^{3-t}

Lösung

laplace transformation

e^{3 - t}

Lösung

\frac{e ^{3}}{s + 1}

Schritte zur Lösung

L {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)}

= e^{3} L {e^{- t}}

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

= e^{3} \frac{1}{s + 1}

Fasse

e^{3} \frac{1}{s + 1}

zusammen:

\frac{e ^{3}}{s + 1}

= \frac{e ^{3}}{s + 1}

Beliebte Beispiele

derivative of (-y^2/((x-y)^2))

\frac{d}{d x} (\frac{- y ^{2}}{( x - y ) ^{2}})

(\partial ^2)/(\partial x^2)(sin^2(mx+ny))

\frac{\partial ^{2}}{\partial x ^{2}} (sin^{2} (m x + n y))

inverselaplace 1/((s-1)^5)

in v erse l a pl a ce \frac{1}{( s - 1 ) ^{5}}

derivative of 2x^3-5x

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

integral of 2/((x-2)^2)

\int \frac{2}{( x - 2 ) ^{2}} d x