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Beliebt Rechnen >

inverselaplace (2e^{-2s})/(s^2-4)

Lösung

inverse laplace transformation

\frac{2 e ^{- 2 s}}{s ^{2} - 4}

Lösung

H (t - 2) sinh (2 (t - 2))

Schritte zur Lösung

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

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 - 2) L^{- 1} {\frac{2}{s ^{2} - 4}} (t - 2)

L^{- 1} {\frac{2}{s ^{2} - 4}} : sinh (2 t)

= H (t - 2) sinh (2 (t - 2))

Beliebte Beispiele

derivative e^t-t

integral of 2/((t^2+1)^{3/2)}

limit as x approaches 4 of 0.1x^2+3x+2

(\partial)/(\partial x)(cos(x)e^{2xy}*2x)

integral of (x^5)/x