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Beliebt Rechnen >

laplacetransform f(t)=2t^4

Lösung

laplace transformation

f (t) = 2 t^{4}

Lösung

\frac{48}{s ^{5}}

Schritte zur Lösung

L {2 t^{4}}

Verwende die konstante Multiplikationseigenschaft der Laplace-Transformation:

For function

f (t)

and constant

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

= 2 L {t^{4}}

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

= 2 \cdot \frac{24}{s ^{5}}

Fasse

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

zusammen:

\frac{48}{s ^{5}}

= \frac{48}{s ^{5}}

Beliebte Beispiele

derivative of (e^x/(5x^2+1))

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

integral of pisin((nx)/2)

\int π sin (\frac{n x}{2}) d x

derivative of 6x^3-9x+4

\frac{d}{d x} (6 x^{3} - 9 x + 4)

limit as x approaches-1 of 4

x \to - 1 lim (4)

(\partial)/(\partial x)(f(y,x)(y/x))

\frac{\partial}{\partial x} (f (y, x) (\frac{y}{x}))