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Beliebt Rechnen >

laplacetransform cos(2t-2)e^{3t}

Lösung

laplace transformation

cos (2 t - 2) e^{3 t}

Lösung

\frac{cos ( 2 ) ( s - 3 ) + 2 sin ( 2 )}{( s - 3 ) ^{2} + 4}

Schritte zur Lösung

L {e^{3 t} cos (2 t - 2)}

Wende Transformationsregel an: wenn

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

dann

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

Für

cos (2 t - 2) e^{3 t} : f (t) = cos (2 t - 2), a = 3

= L {cos (2 t - 2)} (s - 3)

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

= \frac{cos ( 2 ) ( s - 3 ) + 2 sin ( 2 )}{( s - 3 ) ^{2} + 4}

Beliebte Beispiele

integral from 0 to 1.75 of 1500x

integral of 1/(x^3-4x^2+8x)

limit as x approaches 3 of 1/(6-2x)

integral of (3x-1)/(x^2-3x-4)

integral of e^{2t+e^t}