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Beliebt Rechnen >

laplacetransform 25t^2

Lösung

laplace transformation

25 t^{2}

Lösung

\frac{50}{s ^{3}}

Schritte zur Lösung

L {25 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)}

= 25 L {t^{2}}

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

= 25 \cdot \frac{2}{s ^{3}}

Fasse

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

zusammen:

\frac{50}{s ^{3}}

= \frac{50}{s ^{3}}

Beliebte Beispiele

derivative f(t)=7-1/3 t

d er i v a t i v e f (t) = 7 - \frac{1}{3} t

integral of (7x^2+5x+7)/((x^2+1)^2)

\int \frac{7 x ^{2} + 5 x + 7}{( x ^{2} + 1 ) ^{2}} d x

(\partial)/(\partial y)(y^3)

\frac{\partial}{\partial y} (y^{3})

integral from 1 to 6 of x^{-4}

\int_{1}^{6} x^{- 4} d x

derivative of arccos((x+1/3))

\frac{d}{d x} (arccos (\frac{x + 1}{3}))