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Beliebt Rechnen >

inverselaplace 1/((s+2)^4)

Lösung

inverse laplace transformation

\frac{1}{( s + 2 ) ^{4}}

Lösung

\frac{e ^{- 2 t} t ^{3}}{6}

Schritte zur Lösung

L^{- 1} {\frac{1}{( s + 2 ) ^{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{1}{( s + 2 ) ^{4}} : a = - 2, F (s) = \frac{1}{s ^{4}}

= e^{- 2 t} L^{- 1} {\frac{1}{s ^{4}}}

L^{- 1} {\frac{1}{s ^{4}}} : \frac{t ^{3}}{6}

= \frac{e ^{- 2 t} t ^{3}}{6}

Beliebte Beispiele

integral of-2ln(x^2-1)

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

limit as x approaches 4 of (3x-3)^{5/2}

x \to 4 lim ((3 x - 3)^{\frac{5}{2}})

integral of ((14x^3+2x+1))/(x^3)

\int \frac{( 14 x ^{3} + 2 x + 1 )}{x ^{3}} d x

derivative of sin(x^2-2x+6)

\frac{d}{d x} (sin (x^{2} - 2 x + 6))

fläche y^2=x+1,x=1

a re a y^{2} = x + 1, x = 1