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Beliebt Rechnen >

inverselaplace 1/((x+1)^2)

Lösung

inverse laplace transformation

\frac{1}{( x + 1 ) ^{2}}

Lösung

e^{- t} t

Schritte zur Lösung

L^{- 1} {\frac{1}{( x + 1 ) ^{2}}}

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

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

L^{- 1} {\frac{1}{x ^{2}}} : t

= e^{- t} t

Beliebte Beispiele

integral of (2x+4)

\int (2 x + 4) d x

derivative ln(7x)

d er i v a t i v e ln (7 x)

tangent f(x)=log_{5}(2x^2+7),\at x=3

t an g e n t f (x) = lo g_{5} (2 x^{2} + 7), at x = 3

derivative of ((sqrt(2x+1)/(e+1))^e)

\frac{d}{d x} ((\frac{2 x + 1}{e + 1})^{e})

integral from 0 to 5 of |x-2|

\int_{0}^{5} ∣ x - 2 ∣ d x