laplacetransform 4t*sin(3t)

Lösung

laplace transformation

4 t \cdot sin (3 t)

\frac{24 s}{( s ^{2} + 9 ) ^{2}}

Schritte zur Lösung

L {4 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)}

= 4 L {t sin (3 t)}

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

= 4 \cdot \frac{6 s}{( s ^{2} + 9 ) ^{2}}

Fasse

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

zusammen:

\frac{24 s}{( s ^{2} + 9 ) ^{2}}

= \frac{24 s}{( s ^{2} + 9 ) ^{2}}

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