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Beliebt Rechnen >

laplacetransform 20t^2

Lösung

laplace transformation

20 t^{2}

Lösung

\frac{40}{s ^{3}}

Schritte zur Lösung

L {20 t^{2}}

Verwende die konstante Multiplikationseigenschaft der Laplace-Transformation:

For function

f (t)

and constant

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

= 20 L {t^{2}}

L {t^{2}} : \frac{2}{s ^{3}}

= 20 \cdot \frac{2}{s ^{3}}

Fasse

20 \frac{2}{s ^{3}}

zusammen:

\frac{40}{s ^{3}}

= \frac{40}{s ^{3}}

Beliebte Beispiele

limit as x approaches 17 of x^2-3x+1

x \to 17 lim (x^{2} - 3 x + 1)

derivative 1/3 (x^2+2)^{3/2}

d er i v a t i v e \frac{1}{3} (x^{2} + 2)^{\frac{3}{2}}

integral of (256)/(x^3-16x^2)

\int \frac{256}{x ^{3} - 16 x ^{2}} d x

derivative of 4x+7

\frac{d}{d x} (4 x + 7)

inverselaplace 1/(s^4-9)

in v erse l a pl a ce \frac{1}{s ^{4} - 9}