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Beliebt Rechnen >

inverselaplace 3/((s+1)^4)

Lösung

inverse laplace transformation

\frac{3}{( s + 1 ) ^{4}}

Lösung

\frac{e ^{- t} t ^{3}}{2}

Schritte zur Lösung

L^{- 1} {\frac{3}{( s + 1 ) ^{4}}}

Wende inverse Transformationsregel an: if

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

dann

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

Für

\frac{3}{( s + 1 ) ^{4}} : a = - 1, F (s) = \frac{3}{s ^{4}}

= e^{- t} L^{- 1} {\frac{3}{s ^{4}}}

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

= \frac{e ^{- t} t ^{3}}{2}

Beliebte Beispiele

limit as x approaches 1 of 4

x \to 1 lim (4)

(dx)/(dt)+5t^3x^5+x/t =0

\frac{d x}{d t} + 5 t^{3} x^{5} + \frac{x}{t} = 0

derivative of (2-x^2(4x^2+9x)^4)

\frac{d}{d x} ((2 - x^{2}) (4 x^{2} + 9 x)^{4})

derivative of (5^x/(x^5))

\frac{d}{d x} (\frac{5 ^{x}}{x ^{5}})

integral of (x^4+x^2+x)

\int (x^{4} + x^{2} + x) d x