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Beliebt Rechnen >

laplacetransform 5t^3

Lösung

laplace transformation

5 t^{3}

Lösung

\frac{30}{s ^{4}}

Schritte zur Lösung

L {5 t^{3}}

Verwende die konstante Multiplikationseigenschaft der Laplace-Transformation:

For function

f (t)

and constant

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

= 5 L {t^{3}}

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

= 5 \cdot \frac{6}{s ^{4}}

Fasse

5 \frac{6}{s ^{4}}

zusammen:

\frac{30}{s ^{4}}

= \frac{30}{s ^{4}}

Beliebte Beispiele

derivative of \sqrt[3]{1+x^2}

\frac{d}{d x} (3 1 + x^{2})

f (t) = 6 cos (2 t)

integral of 1/4 x^2-1/2 ln(x)

\int \frac{1}{4} x^{2} - \frac{1}{2} ln (x) d x

integral of (sin^3(e^x))(cos(e^x))e^x

\int (sin^{3} (e^{x})) (cos (e^{x})) e^{x} d x

integral of x^2-3/x+cos(x)-2/(sqrt(x))

\int x^{2} - \frac{3}{x} + cos (x) - \frac{2}{x} d x