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Beliebt Rechnen >

inverselaplace 2/(4(s-3)^2+64)

Lösung

inverse laplace transformation

\frac{2}{4 ( s - 3 ) ^{2} + 64}

Lösung

e^{3 t} \frac{1}{8} sin (4 t)

Schritte zur Lösung

L^{- 1} {\frac{2}{4 ( s - 3 ) ^{2} + 64}}

Wende inverse Transformationsregel an: if

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

dann

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

Für

\frac{2}{4 ( s - 3 ) ^{2} + 64} : a = 3, F (s) = \frac{2}{4 s ^{2} + 64}

= e^{3 t} L^{- 1} {\frac{2}{4 s ^{2} + 64}}

L^{- 1} {\frac{2}{4 s ^{2} + 64}} : \frac{1}{8} sin (4 t)

= e^{3 t} \frac{1}{8} sin (4 t)

Beliebte Beispiele

integral of cos^4(5x+1)

\int cos^{4} (5 x + 1) d x

limit as w approaches-k of (w^2+9kw+8k^2)/(w^2+kw)

w \to - k lim (\frac{w ^{2} + 9 k w + 8 k ^{2}}{w ^{2} + k w})

derivative of-\sqrt[3]{1-2x}

\frac{d}{d x} (- 3 1 - 2 x)

integral of e^{-x}*(2-x)

\int e^{- x} \cdot (2 - x) d x

fläche y= 1/x ,y= 3/x ,y=x,y=2x

a re a y = \frac{1}{x}, y = \frac{3}{x}, y = x, y = 2 x