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Beliebt Rechnen >

inverselaplace (e^{-3s})/(s^2)

Lösung

inverse laplace transformation

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

Lösung

H (t - 3) (t - 3)

Schritte zur Lösung

L^{- 1} {\frac{e ^{- 3 s}}{s ^{2}}}

Wende inverse Transformationsregel an: if

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

dann

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

Wo

H (t)

Heaviside (Schritt) Funktion ist

= H (t - 3) L^{- 1} {\frac{1}{s ^{2}}} (t - 3)

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

= H (t - 3) (t - 3)

Beliebte Beispiele

laplacetransform (t+1)^2

l a pl a ce t r an s f or m (t + 1)^{2}

integral of (4x+6)/((x^2+2)*(x+2))

\int \frac{4 x + 6}{( x ^{2} + 2 ) \cdot ( x + 2 )} d x

derivative f(x)=x^{5/3}-x^{2/3}

d er i v a t i v e f (x) = x^{\frac{5}{3}} - x^{\frac{2}{3}}

laplacetransform e^{-t}t

l a pl a ce t r an s f or m e^{- t} t

maclaurin 1/(x-3)

ma c l a u r in \frac{1}{x - 3}