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Beliebt Rechnen >

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

Lösung

inverse laplace transformation

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

Lösung

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

Schritte zur Lösung

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

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

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

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

Beliebte Beispiele

y^{^{'}} = a - b y^{2}

derivative f(x)= 1/(sqrt(x+4))

d er i v a t i v e f (x) = \frac{1}{x + 4}

integral of (2x^2)/(1-6x^3)

\int \frac{2 x ^{2}}{1 - 6 x ^{3}} d x

(\partial)/(\partial y)(xy^3-x^2)

\frac{\partial}{\partial y} (x y^{3} - x^{2})

integral of (5x^4)/(x^5-3)

\int \frac{5 x ^{4}}{x ^{5} - 3} d x