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Beliebt Rechnen >

laplacetransform 5cos(3t)

Lösung

laplace transformation

5 cos (3 t)

Lösung

\frac{5 s}{s ^{2} + 9}

Schritte zur Lösung

L {5 cos (3 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)}

= 5 L {cos (3 t)}

L {cos (3 t)} : \frac{s}{s ^{2} + 9}

= 5 \cdot \frac{s}{s ^{2} + 9}

Fasse

5 \frac{s}{s ^{2} + 9}

zusammen:

\frac{5 s}{s ^{2} + 9}

= \frac{5 s}{s ^{2} + 9}

Beliebte Beispiele

derivative of \sqrt[3]{2x-3}

\frac{d}{d x} (3 2 x - 3)

integral of (x+3x^2)/(y^2)

\int \frac{x + 3 x ^{2}}{y ^{2}} d x

integral of 1/(1-cos(x))

\int \frac{1}{1 - cos ( x )} d x

(\partial)/(\partial u)(u+v^2)

\frac{\partial}{\partial u} (u + v^{2})

integral from 0 to 5 of (x+1)

\int_{0}^{5} (x + 1) d x