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Beliebt Rechnen >

laplacetransform t^{(3/2)}

Lösung

laplace transformation

t^{(\frac{3}{2})}

Lösung

\frac{3 π}{4 s ^{\frac{5}{2}}}

Schritte zur Lösung

L {t^{(\frac{3}{2})}}

Wende Laplace-Transformationstabelle an:

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

L {t^{\frac{3}{2}}} = \frac{3 π}{2 ^{2} s ^{\frac{5}{2}}}

= \frac{3 π}{2 ^{2} s ^{\frac{5}{2}}}

= \frac{3 π}{4 s ^{\frac{5}{2}}}

Beliebte Beispiele

partialfraction (x^2)/(x-5)

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\int \frac{3 - e ^{2 x}}{e ^{x}} d x

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\frac{d y}{d x} = x \cdot y^{2}

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\int \frac{32 x ^{2}}{x ^{4} - 34 x ^{2} + 225} d x

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