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Beliebt Rechnen >

inverselaplace 4/((3s-1)^5)

Lösung

inverse laplace transformation

\frac{4}{( 3 s - 1 ) ^{5}}

Lösung

\frac{e ^{\frac{t}{3}} t ^{4}}{1458}

Schritte zur Lösung

L^{- 1} {\frac{4}{( 3 s - 1 ) ^{5}}}

Wende inverse Transformationsregel an: if

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

dann

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

Für

\frac{4}{( 3 s - 1 ) ^{5}} : a = \frac{1}{3}, F (s) = \frac{4}{( 3 s ) ^{5}}

= e^{\frac{1}{3} t} L^{- 1} {\frac{4}{( 3 s ) ^{5}}}

L^{- 1} {\frac{4}{( 3 s ) ^{5}}} : \frac{t ^{4}}{1458}

= \frac{e ^{\frac{t}{3}} t ^{4}}{1458}

Beliebte Beispiele

y^{^{'}} + \frac{y}{x} = 2 y^{2}

derivative of (4x+2/((3-2x)^3))

\frac{d}{d x} (\frac{4 x + 2}{( 3 - 2 x ) ^{3}})

(\partial)/(\partial x)(xe^{sqrt(14xy)})

\frac{\partial}{\partial x} (x e^{14 x y})

y^'=3-(3x)/(10000)

y^{^{'}} = 3 - \frac{3 x}{10000}

integral of t^2e^{2t}

\int t^{2} e^{2 t} d t