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Beliebt Rechnen >

laplacetransform 6sin(2t)

Lösung

laplace transformation

6 sin (2 t)

Lösung

\frac{12}{s ^{2} + 4}

Schritte zur Lösung

L {6 sin (2 t)}

Verwende die konstante Multiplikationseigenschaft der Laplace-Transformation:

For function

f (t)

and constant

a : L {a \cdot f (t)} = a \cdot L {f (t)}

= 6 L {sin (2 t)}

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

= 6 \cdot \frac{2}{s ^{2} + 4}

Fasse

6 \frac{2}{s ^{2} + 4}

zusammen:

\frac{12}{s ^{2} + 4}

= \frac{12}{s ^{2} + 4}

Beliebte Beispiele

derivative of asin(2x)

\frac{d}{d x} (a sin (2 x))

derivative of (7sqrt(x)/x)

\frac{d}{d x} (\frac{7 x}{x})

derivative ((ax+b))/(cx+d)

d er i v a t i v e \frac{( a x + b )}{c x + d}

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

\int \frac{2 x - 3}{x ^{2} - 3 x + 1} d x

derivative e^{sqrt(x+1)}

d er i v a t i v e e^{x + 1}