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Beliebt Rechnen >

inverselaplace (e^{-3s})/s

Lösung

inverse laplace transformation

\frac{e ^{- 3 s}}{s}

Lösung

H (t - 3)

Schritte zur Lösung

L^{- 1} {\frac{e ^{- 3 s}}{s}}

Wende inverse Transformationsregel an: if

L^{- 1} {F (s)} = f (t)

dann

L^{- 1} {e^{- a s} F (s)} = H (t - a) f (t - a)

Wo

H (t)

Heaviside (Schritt) Funktion ist

= H (t - 3) L^{- 1} {\frac{1}{s}} (t - 3)

L^{- 1} {\frac{1}{s}} : H (t)

= H (t - 3) H (t - 3)

= H (t - 3)

Beliebte Beispiele

derivative of-arcsin(1/x+e^2)

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

derivative f(x)=[ln(x)]^x

d er i v a t i v e f (x) = [ln (x)]^{x}

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y^{'} = 0.0015 y (2100 - y)

(dy)/(dx)=x^{3/2}

\frac{d y}{d x} = x^{\frac{3}{2}}

integral of-1/(n^2)cos(nt)

\int - \frac{1}{n ^{2}} cos (n t) d t