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Beliebt Rechnen >

laplacetransform e^{-2t}cos(5t)

Lösung

laplace transformation

e^{- 2 t} cos (5 t)

Lösung

\frac{s + 2}{( s + 2 ) ^{2} + 25}

Schritte zur Lösung

L {e^{- 2 t} cos (5 t)}

Wende Transformationsregel an: wenn

L {f (t)} = F (s)

dann

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

Für

e^{- 2 t} cos (5 t) : f (t) = cos (5 t), a = - 2

= L {cos (5 t)} (s + 2)

L {cos (5 t)} : \frac{s}{s ^{2} + 25}

= \frac{( s + 2 )}{( s + 2 ) ^{2} + 25}

= \frac{s + 2}{( s + 2 ) ^{2} + 25}

Beliebte Beispiele

derivative of \sqrt[4]{5/4 x}

\frac{d}{d x} (4 \frac{5}{4} x)

integral of 1/(x^2-2x+26)

\int \frac{1}{x ^{2} - 2 x + 26} d x

x^{^{''}} - a x = 0

limit as x approaches 0 of x^2cos(8/x)

x \to 0 lim (x^{2} cos (\frac{8}{x}))

derivative y=(3x-2)/x

d er i v a t i v e y = \frac{3 x - 2}{x}