de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

inverselaplace (e^{-4s})/((s-3)^2)

Lösung

inverse laplace transformation

\frac{e ^{- 4 s}}{( s - 3 ) ^{2}}

Lösung

H (t - 4) e^{3 (t - 4)} (t - 4)

Schritte zur Lösung

L^{- 1} {\frac{e ^{- 4 s}}{( s - 3 ) ^{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 - 4) L^{- 1} {\frac{1}{( s - 3 ) ^{2}}} (t - 4)

L^{- 1} {\frac{1}{( s - 3 ) ^{2}}} : e^{3 t} t

= H (t - 4) e^{3 (t - 4)} (t - 4)

Beliebte Beispiele

derivative x^2-6

d er i v a t i v e x^{2} - 6

derivative f(x)=x-9

d er i v a t i v e f (x) = x - 9

limit as x approaches 2 of 1/(sqrt(x-2))

x \to 2 lim (\frac{1}{x - 2})

integral of (x^2+4x+1)/(x^3+x)

\int \frac{x ^{2} + 4 x + 1}{x ^{3} + x} d x

derivative of ((x^2-1)/(x^2))

\frac{d}{d x} (\frac{( x ^{2} - 1 )}{x ^{2}})