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Beliebt Rechnen >

inverselaplace (-3)/((s-2)^2)

Lösung

inverse laplace transformation

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

Lösung

- 3 e^{2 t} t

Schritte zur Lösung

L^{- 1} {\frac{- 3}{( s - 2 ) ^{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{- 3}{( s - 2 ) ^{2}} : a = 2, F (s) = \frac{- 3}{s ^{2}}

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

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

= - 3 e^{2 t} t

Beliebte Beispiele

derivative of x^4-x^2

\frac{d}{d x} (x^{4} - x^{2})

integral of tan(5x)

\int tan (5 x) d x

derivative of (x^2-2x+5/(x^2+9))

\frac{d}{d x} (\frac{x ^{2} - 2 x + 5}{x ^{2} + 9})

integral of (-3/(sqrt(10-10x^2)))

\int (- \frac{3}{10 - 10 x ^{2}}) d x

y = 3 tan (2 x)