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Beliebt Rechnen >

laplacetransform x^{1/2}

Lösung

laplace transformation

x^{\frac{1}{2}}

Lösung

\frac{π}{2 s ^{\frac{3}{2}}}

Schritte zur Lösung

L {x^{\frac{1}{2}}}

Wende Laplace-Transformationstabelle an:

L {t^{n - 1/2}} = \frac{( 2 n - 1 ) !! π}{2 ^{n} s ^{n + 1/2}}

L {x^{\frac{1}{2}}} = \frac{1 \cdot π}{2 ^{1} s ^{\frac{3}{2}}}

= \frac{1 \cdot π}{2 ^{1} s ^{\frac{3}{2}}}

= \frac{π}{2 s ^{\frac{3}{2}}}

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