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Beliebt Rechnen >

laplacetransform-4cos(2t)

Lösung

laplace transformation

- 4 cos (2 t)

Lösung

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

Schritte zur Lösung

L {- 4 cos (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)}

= - 4 L {cos (2 t)}

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

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

Fasse

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

zusammen:

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

= - \frac{4 s}{s ^{2} + 4}

Beliebte Beispiele

derivative 1/(5t^2-6t+2)

d er i v a t i v e \frac{1}{5 t ^{2} - 6 t + 2}

integral of y/(y+1)

\int \frac{y}{y + 1} d y

sqrt(xy)((dy)/(dx))=3

x y (\frac{d y}{d x}) = 3

integral from 1 to 4 of (5ln(x))/(x^2)

\int_{1}^{4} \frac{5 ln ( x )}{x ^{2}} d x

derivative of arcsin(x/(sqrt(1+x^2)))

\frac{d}{d x} (arcsin (\frac{x}{1 + x ^{2}}))