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Beliebt Rechnen >

laplacetransform 2cos(2t+pi/6)

Lösung

laplace transformation

2 cos (2 t + \frac{π}{6})

Lösung

\frac{3 s - 2}{s ^{2} + 4}

Schritte zur Lösung

L {2 cos (2 t + \frac{π}{6})}

Verwende die konstante Multiplikationseigenschaft der Laplace-Transformation:

For function

f (t)

and constant

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

= 2 L {cos (2 t + \frac{π}{6})}

L {cos (2 t + \frac{π}{6})} : \frac{3 s - 2}{2 ( s ^{2} + 4 )}

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

Fasse

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

zusammen:

\frac{3 s - 2}{s ^{2} + 4}

= \frac{3 s - 2}{s ^{2} + 4}

Beliebte Beispiele

kgv f(x)=,x\at x

l c m f (x) =, x at x

derivative f(x)=sqrt(x)+7

d er i v a t i v e f (x) = x + 7

limit as x approaches-3-of (x+2)/(x+3)

x \to - 3 - lim (\frac{x + 2}{x + 3})

integral of sqrt(2x-x^2)

\int 2 x - x^{2} d x

tangent y=50-x^2

t an g e n t y = 50 - x^{2}