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Beliebt Rechnen >

inverselaplace 8/((s-1)^3)

Lösung

inverse laplace transformation

\frac{8}{( s - 1 ) ^{3}}

Lösung

e^{t} \cdot 4 t^{2}

Schritte zur Lösung

L^{- 1} {\frac{8}{( s - 1 ) ^{3}}}

Wende inverse Transformationsregel an: if

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

dann

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

Für

\frac{8}{( s - 1 ) ^{3}} : a = 1, F (s) = \frac{8}{s ^{3}}

= e^{t} L^{- 1} {\frac{8}{s ^{3}}}

L^{- 1} {\frac{8}{s ^{3}}} : 4 t^{2}

= e^{t} \cdot 4 t^{2}

Beliebte Beispiele

integral of x^3sqrt(x^2-16)

\int x^{3} x^{2} - 16 d x

derivative of 5-|x|

\frac{d}{d x} (5 - ∣ x ∣)

integral of tan(3xse)c^23x

\int tan (3 x se) c^{2} 3 x d x

limit as x approaches-3 of sqrt(x^2+x)-x

x \to - 3 lim (x^{2} + x - x)

integral from 0 to 1 of x/(x^3+1)

\int_{0}^{1} \frac{x}{x ^{3} + 1} d x