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Beliebt Rechnen >

laplacetransform 3cos(3t)

Lösung

laplace transformation

3 cos (3 t)

Lösung

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

Schritte zur Lösung

L {3 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)}

= 3 L {cos (3 t)}

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

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

Fasse

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

zusammen:

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

= \frac{3 s}{s ^{2} + 9}

Beliebte Beispiele

integral of 1/(x^2-8x+1)

\int \frac{1}{x ^{2} - 8 x + 1} d x

derivative y=ln(7x^2+3y^2)

d er i v a t i v e y = ln (7 x^{2} + 3 y^{2})

integral of ((3*ln(x)-5)^4)/x

\int \frac{( 3 \cdot ln ( x ) - 5 ) ^{4}}{x} d x

integral from 1 to 6 of t^4ln(4t)

\int_{1}^{6} t^{4} ln (4 t) d t

derivative of 5pi^2

\frac{d}{d x} (5 π^{2})