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Beliebt Rechnen >

laplacetransform-5sin(3t)

Lösung

laplace transformation

- 5 sin (3 t)

Lösung

- \frac{15}{s ^{2} + 9}

Schritte zur Lösung

L {- 5 sin (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 {sin (3 t)}

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

= - 5 \cdot \frac{3}{s ^{2} + 9}

Fasse

- 5 \frac{3}{s ^{2} + 9}

zusammen:

- \frac{15}{s ^{2} + 9}

= - \frac{15}{s ^{2} + 9}

Beliebte Beispiele

(\partial)/(\partial y)((y^2)/(x^2+y^2))

\frac{\partial}{\partial y} (\frac{y ^{2}}{x ^{2} + y ^{2}})

integral of-e^xx

\int - e^{x} x d x

integral of (36)/(1+36x^2)

\int \frac{36}{1 + 36 x ^{2}} d x

y^{^{'}} = 1 - 2 y

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