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Beliebt Rechnen >

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

Lösung

inverse laplace transformation

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

Lösung

e^{t} + e^{2 t}

Schritte zur Lösung

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

Ermittle den Partialbruch von

\frac{2 s - 3}{s ^{2} - 3 s + 2} : \frac{1}{s - 1} + \frac{1}{s - 2}

= L^{- 1} {\frac{1}{s - 1} + \frac{1}{s - 2}}

Wende die lineare Eigenschaftder inversen Laplace-Transformation an:

Für Funktionen

f (s), g (s)

und Konstanten

a, b : L^{- 1} {a \cdot f (s) + b \cdot g (s)} = a \cdot L^{- 1} {f (s)} + b \cdot L^{- 1} {g (s)}

= L^{- 1} {\frac{1}{s - 1}} + L^{- 1} {\frac{1}{s - 2}}

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

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

= e^{t} + e^{2 t}

Beliebte Beispiele

derivative of x(x^2+7^4)

\frac{d}{d x} (x (x^{2} + 7)^{4})

derivative y=-x^2-0.85x

d er i v a t i v e y = - x^{2} - 0.85 x

derivative arcsec(x^2)

d er i v a t i v e arcsec (x^{2})

integral from-infinity to 0 of 1/(7-8x)

\int_{- \infty}^{0} \frac{1}{7 - 8 x} d x

limit as x approaches+2-of cx^2+6x

x \to + 2 - lim (c x^{2} + 6 x)