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Beliebt Rechnen >

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

Lösung

laplace transformation

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

Lösung

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

Schritte zur Lösung

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

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

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

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

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

Beliebte Beispiele

derivative f(x)=7x^3

d er i v a t i v e f (x) = 7 x^{3}

(\partial)/(\partial x)(xe^{(x^2+y^2)})

\frac{\partial}{\partial x} (x e^{(x^{2} + y^{2})})

integral of sin^2(6x)cos^2(6x)

\int sin^{2} (6 x) cos^{2} (6 x) d x

fläche x^2,12-x

a re a x^{2}, 12 - x

derivative of (x^3-y^3/(x-y))

\frac{d}{d x} (\frac{x ^{3} - y ^{3}}{x - y})