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Beliebt Rechnen >

laplacetransform 2/3 t^3*e^{-8t}

Lösung

laplace transformation

\frac{2}{3} t^{3} \cdot e^{- 8 t}

Lösung

\frac{4}{( s + 8 ) ^{4}}

Schritte zur Lösung

L {\frac{2}{3} e^{- 8 t} t^{3}}

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{2}{3} L {t^{3} e^{- 8 t}}

L {t^{3} e^{- 8 t}} : \frac{6}{( s + 8 ) ^{4}}

= \frac{2}{3} \cdot \frac{6}{( s + 8 ) ^{4}}

Fasse

\frac{2}{3} \frac{6}{( s + 8 ) ^{4}}

zusammen:

\frac{4}{( s + 8 ) ^{4}}

= \frac{4}{( s + 8 ) ^{4}}

Beliebte Beispiele

derivative of 4/(x^2-2/x)

\frac{d}{d x} (\frac{4}{x ^{2}} - \frac{2}{x})

(\partial)/(\partial x)(3y^2+20x^2y^3)

\frac{\partial}{\partial x} (3 y^{2} + 20 x^{2} y^{3})

laplacetransform cos^2(pit)

l a pl a ce t r an s f or m cos^{2} (π t)

f^'(x)= 9/(2sqrt(9x-5))

f^{^{'}} (x) = \frac{9}{2 9 x - 5}

integral of sqrt(4x-3)

\int 4 x - 3 d x