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Beliebt Rechnen >

laplacetransform 6*cos(0.2t)

Lösung

laplace transformation

6 \cdot cos (0.2 t)

Lösung

\frac{6 s}{s ^{2} + 0.04}

Schritte zur Lösung

L {6 cos (0.2 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 {cos (0.2 t)}

L {cos (0.2 t)} : \frac{s}{s ^{2} + 0.04}

= 6 \cdot \frac{s}{s ^{2} + 0.04}

Fasse

6 \frac{s}{s ^{2} + 0.04}

zusammen:

\frac{6 s}{s ^{2} + 0.04}

= \frac{6 s}{s ^{2} + 0.04}

Beliebte Beispiele

\frac{d y}{d x} = 3 y + 2

limit as x approaches 1 of sin(pi/2 x)

x \to 1 lim (sin (\frac{π}{2} x))

tangent f(x)=4sqrt(x),\at x=4

t an g e n t f (x) = 4 x, at x = 4

integral of-(cos(x))/(sin(x))

\int - \frac{cos ( x )}{sin ( x )} d x

integral of cos(pint)

\int cos (πn t) d t