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Beliebt Rechnen >

laplacetransform 1/2 (t-2)^2

Lösung

laplace transformation

\frac{1}{2} (t - 2)^{2}

Lösung

\frac{1 - 2 s + 2 s ^{2}}{s ^{3}}

Schritte zur Lösung

L {\frac{1}{2} (t - 2)^{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)}

= \frac{1}{2} L {(t - 2)^{2}}

L {(t - 2)^{2}} : \frac{2}{s ^{3}} - \frac{4}{s ^{2}} + \frac{4}{s}

= \frac{1}{2} (\frac{2}{s ^{3}} - \frac{4}{s ^{2}} + \frac{4}{s})

Fasse

\frac{1}{2} (\frac{2}{s ^{3}} - \frac{4}{s ^{2}} + \frac{4}{s})

zusammen:

\frac{1 - 2 s + 2 s ^{2}}{s ^{3}}

= \frac{1 - 2 s + 2 s ^{2}}{s ^{3}}

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(\partial)/(\partial x)(4y+xe^{x/y})

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