inverselaplace (0.707)/(s+0.707)

Lösung

inverse laplace transformation

\frac{0.707}{s + 0.707}

0.707 e^{- 0.707 t}

Schritte zur Lösung

L^{- 1} {\frac{0.707}{s + 0.707}}

= L^{- 1} {0.707 \cdot \frac{1}{s + 0.707}}

Wende die konstante Multiplikationseigenschaft der inversen Laplace-Transformation an:

Für Funktionen

f (t)

und Konstante

a : L^{- 1} {a \cdot f (t)} = a \cdot L^{- 1} {f (t)}

= 0.707 L^{- 1} {\frac{1}{s + 0.707}}

Verwende inverse Laplace-Transformationstabelle:

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

L^{- 1} {\frac{1}{s + 0.707}} = e^{- 0.707 t}

= 0.707 e^{- 0.707 t}

\frac{d}{d x} (a \cdot cos (x) + b \cdot sin (x))

\int (2 (z + 1) e^{2 x - 2} + 2 y) d x

\frac{d}{d x} (A x e^{4 x})

\frac{d}{d x} (\frac{1}{6} (x - 1) (x + 5)^{5} + 10)

t an g e n t y = 9 x^{2} + 9 x - 3