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Beliebt Rechnen >

laplacetransform tcos(2t)

Lösung

laplace transformation

t cos (2 t)

Lösung

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

Schritte zur Lösung

L {t cos (2 t)}

Wende Laplace-Transformationstabelle an:

L {t^{k} f (t)} = (- 1)^{k} \frac{d ^{k}}{d s ^{k}} (L {f (t)})

Für

t cos (2 t) : f (t) = cos (2 t), k = 1

= (- 1)^{1} \frac{d}{d s} (L {cos (2 t)})

L {cos (2 t)} : \frac{s}{s ^{2} + 4}

\frac{d}{d s} (\frac{s}{s ^{2} + 4}) = \frac{- s ^{2} + 4}{( s ^{2} + 4 ) ^{2}}

= (- 1)^{1} \frac{- s ^{2} + 4}{( s ^{2} + 4 ) ^{2}}

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

Beliebte Beispiele

sum from k=0 to infinity of (e/(10))^k

k = 0 \sum \infty (\frac{e}{10})^{k}

limit as x approaches 1-of-x^2+3x-4

x \to 1 - lim (- x^{2} + 3 x - 4)

derivative of e^x(cos(x))

\frac{d}{d x} (e^{x} (cos (x)))

d/(dt)(t^2sin(wt))

\frac{d}{d t} (t^{2} sin (wt))

t a y l or e^{5 x}