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Beliebt Rechnen >

laplacetransform-3sin(4t)

Lösung

laplace transformation

- 3 sin (4 t)

Lösung

- \frac{12}{s ^{2} + 16}

Schritte zur Lösung

L {- 3 sin (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)}

= - 3 L {sin (4 t)}

L {sin (4 t)} : \frac{4}{s ^{2} + 16}

= - 3 \cdot \frac{4}{s ^{2} + 16}

Fasse

- 3 \frac{4}{s ^{2} + 16}

zusammen:

- \frac{12}{s ^{2} + 16}

= - \frac{12}{s ^{2} + 16}

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