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Beliebt Rechnen >

laplacetransform e^{4t}sin(2t)

Lösung

laplace transformation

e^{4 t} sin (2 t)

Lösung

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

Schritte zur Lösung

L {e^{4 t} sin (2 t)}

Wende Transformationsregel an: wenn

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

dann

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

Für

e^{4 t} sin (2 t) : f (t) = sin (2 t), a = 4

= L {sin (2 t)} (s - 4)

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

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

Beliebte Beispiele

d/(dy)(y/(t^2+y^2))

\frac{d}{d y} (\frac{y}{t ^{2} + y ^{2}})

(dr)/(dt)+2tr-r=0,r(0)=6

\frac{d r}{d t} + 2 t r - r = 0, r (0) = 6

(\partial)/(\partial y)(sin(3x-4y))

\frac{\partial}{\partial y} (sin (3 x - 4 y))

integral of 1/(x^2+5)

\int \frac{1}{x ^{2} + 5} d x

limit as x approaches 2 of (-2)/(x(x-2))

x \to 2 lim (\frac{- 2}{x ( x - 2 )})