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Beliebt Rechnen >

laplacetransform t(tcos(t)-sin(t))

Lösung

laplace transformation

t (t cos (t) - sin (t))

Lösung

- \frac{8 s}{( s ^{2} + 1 ) ^{3}}

Schritte zur Lösung

L {t (t cos (t) - sin (t))}

Wende Laplace-Transformationstabelle an:

L {t^{k} f (t)} = (- 1)^{k} \frac{d ^{k}}{d s ^{k}} (L {f (t)})

Für

t (t cos (t) - sin (t)) : f (t) = (t cos (t) - sin (t)), k = 1

= (- 1)^{1} \frac{d}{d s} (L {(t cos (t) - sin (t))})

L {(t cos (t) - sin (t))} : - \frac{2}{( s ^{2} + 1 ) ^{2}}

\frac{d}{d s} (- \frac{2}{( s ^{2} + 1 ) ^{2}}) = \frac{8 s}{( s ^{2} + 1 ) ^{3}}

= (- 1)^{1} \frac{8 s}{( s ^{2} + 1 ) ^{3}}

= - \frac{8 s}{( s ^{2} + 1 ) ^{3}}

Beliebte Beispiele

limit as x approaches 2 of (x^2-3x+2)/(x^2+5x-14)

x \to 2 lim (\frac{x ^{2} - 3 x + 2}{x ^{2} + 5 x - 14})

laplacetransform t^2*e^{-4t}

l a pl a ce t r an s f or m t^{2} \cdot e^{- 4 t}

integral of sin^4(x)cos^2(x)

\int sin^{4} (x) cos^{2} (x) d x

steigung (22,54),(62,27)

s l o p e (22, 54), (62, 27)

(\partial)/(\partial x)(cos(x^2y^2))

\frac{\partial}{\partial x} (cos (x^{2} y^{2}))