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Beliebt Rechnen >

laplacetransform (t^3)/(24)

Lösung

laplace transformation

\frac{t ^{3}}{24}

Lösung

\frac{1}{4 s ^{4}}

Schritte zur Lösung

L {\frac{t ^{3}}{24}}

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}{24} L {t^{3}}

L {t^{3}} : \frac{6}{s ^{4}}

= \frac{1}{24} \cdot \frac{6}{s ^{4}}

Fasse

\frac{1}{24} \frac{6}{s ^{4}}

zusammen:

\frac{1}{4 s ^{4}}

= \frac{1}{4 s ^{4}}

Beliebte Beispiele

integral of (e^x)/(e^x+9)

\int \frac{e ^{x}}{e ^{x} + 9} d x

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

\int \frac{2 x ^{2}}{1 + x ^{2}} d x

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

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

integral of 9cos(sqrt(5x))

\int 9 cos (5 x) d x

derivative of 8e^{6x}

\frac{d}{d x} (8 e^{6 x})