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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 y=3x

d er i v a t i v e y = 3 x

fläche x^2+y+4=0,y=-8

a re a x^{2} + y + 4 = 0, y = - 8

derivative of cos^{22}(x+1)

\frac{d}{d x} (cos^{22} (x) + 1)

limit as x approaches-2 of 6x-x^2

x \to - 2 lim (6 x - x^{2})

derivative y=3x^3-5x^2+2x+3

d er i v a t i v e y = 3 x^{3} - 5 x^{2} + 2 x + 3