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Beliebt Rechnen >

laplacetransform 7cos(3t)

Lösung

laplace transformation

7 cos (3 t)

Lösung

\frac{7 s}{s ^{2} + 9}

Schritte zur Lösung

L {7 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)}

= 7 L {cos (3 t)}

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

= 7 \cdot \frac{s}{s ^{2} + 9}

Fasse

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

zusammen:

\frac{7 s}{s ^{2} + 9}

= \frac{7 s}{s ^{2} + 9}

Beliebte Beispiele

d/(ds)(s/(s^2+w^2))

\frac{d}{d s} (\frac{s}{s ^{2} + w ^{2}})

derivative of-8e^{-3x}

\frac{d}{d x} (- 8 e^{- 3 x})

sum from n=0 to infinity of 2/(5^n)

n = 0 \sum \infty \frac{2}{5 ^{n}}

derivative of sqrt(csc(2x))

\frac{d}{d x} (csc (2 x))

(dy)/(dx)=-(sqrt(x))/(4y)

\frac{d y}{d x} = - \frac{x}{4 y}