laplacetransform (t^4)/7

Lösung

laplace transformation

\frac{t ^{4}}{7}

\frac{24}{7 s ^{5}}

Schritte zur Lösung

L {\frac{t ^{4}}{7}}

Verwende die konstante Multiplikationseigenschaft der Laplace-Transformation:

For function

f (t)

and constant

a : L {a \cdot f (t)} = a \cdot L {f (t)}

= \frac{1}{7} L {t^{4}}

L {t^{4}} : \frac{24}{s ^{5}}

= \frac{1}{7} \cdot \frac{24}{s ^{5}}

Fasse

\frac{1}{7} \frac{24}{s ^{5}}

zusammen:

\frac{24}{7 s ^{5}}

= \frac{24}{7 s ^{5}}

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