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Beliebt Rechnen >

laplacetransform 3tsin(3t)

Lösung

laplace transformation

3 t sin (3 t)

Lösung

\frac{18 s}{( s ^{2} + 9 ) ^{2}}

Schritte zur Lösung

L {3 t 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)}

= 3 L {t sin (3 t)}

L {t sin (3 t)} : \frac{6 s}{( s ^{2} + 9 ) ^{2}}

= 3 \cdot \frac{6 s}{( s ^{2} + 9 ) ^{2}}

Fasse

3 \frac{6 s}{( s ^{2} + 9 ) ^{2}}

zusammen:

\frac{18 s}{( s ^{2} + 9 ) ^{2}}

= \frac{18 s}{( s ^{2} + 9 ) ^{2}}

Beliebte Beispiele

(d^2y)/(dx^2)+x(dy)/(dx)=0

\frac{d ^{2} y}{d x ^{2}} + x \frac{d y}{d x} = 0

y^'=(x-4)e^{-2y},y(4)=ln(4)

y^{^{'}} = (x - 4) e^{- 2 y}, y (4) = ln (4)

derivative of 2x^{-14/5}

\frac{d}{d x} (2 x^{- \frac{14}{5}})

limit as x approaches 3 of (6x)/(x^2-9)

x \to 3 lim (\frac{6 x}{x ^{2} - 9})

integral of-t^2

\int - t^{2} d t