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Beliebt Rechnen >

laplacetransform-5cos(0.4t)

Lösung

laplace transformation

- 5 cos (0.4 t)

Lösung

- \frac{5 s}{s ^{2} + 0.16}

Schritte zur Lösung

L {- 5 cos (0.4 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 (0.4 t)}

L {cos (0.4 t)} : \frac{s}{s ^{2} + 0.16}

= - 5 \cdot \frac{s}{s ^{2} + 0.16}

Fasse

- 5 \frac{s}{s ^{2} + 0.16}

zusammen:

- \frac{5 s}{s ^{2} + 0.16}

= - \frac{5 s}{s ^{2} + 0.16}

Beliebte Beispiele

y^{^{'}} = y^{2}

integral of u*e^u

\int u \cdot e^{u} d u

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x \frac{d y}{d x} = y + x^{2} sin (x)

integral of 7sqrt(t)

\int 7 t d t

integral of 8tan^2(x)

\int 8 tan^{2} (x) d x