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Beliebt Rechnen >

laplacetransform e^{t-2}

Lösung

laplace transformation

e^{t - 2}

Lösung

\frac{1}{e ^{2} ( s - 1 )}

Schritte zur Lösung

L {e^{t - 2}}

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

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

= e^{- 2} \frac{1}{s - 1}

Fasse

e^{- 2} \frac{1}{s - 1}

zusammen:

\frac{1}{e ^{2} ( s - 1 )}

= \frac{1}{e ^{2} ( s - 1 )}

Beliebte Beispiele

derivative of ln(1-1/(x^2))

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

(\partial)/(\partial x)(acos^2(2pi)(t-x))

\frac{\partial}{\partial x} (a cos^{2} (2 π) (t - x))

tangent (x^2)/(x-5)

t an g e n t \frac{x ^{2}}{x - 5}

derivative f(x)=x^2+7

d er i v a t i v e f (x) = x^{2} + 7

derivative of x^{0.1}

\frac{d}{d x} (x^{0.1})