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Beliebt Rechnen >

laplacetransform-4cos(3t)

Lösung

laplace transformation

- 4 cos (3 t)

Lösung

- \frac{4 s}{s ^{2} + 9}

Schritte zur Lösung

L {- 4 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)}

= - 4 L {cos (3 t)}

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

= - 4 \cdot \frac{s}{s ^{2} + 9}

Fasse

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

zusammen:

- \frac{4 s}{s ^{2} + 9}

= - \frac{4 s}{s ^{2} + 9}

Beliebte Beispiele

integral of (10800q)/(9q^2+675)

\int \frac{10800 q}{9 q ^{2} + 675} d q

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

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

tangent f(x)=x^3,(0,0)

t an g e n t f (x) = x^{3}, (0, 0)

derivative f(x)=3(5-x)^2

d er i v a t i v e f (x) = 3 (5 - x)^{2}

derivative of (9x+2^{2/3})

\frac{d}{d x} ((9 x + 2)^{\frac{2}{3}})