de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

laplacetransform x^2cos(x)

Lösung

laplace transformation

x^{2} cos (x)

Lösung

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

Schritte zur Lösung

L {x^{2} cos (x)}

Wende Laplace-Transformationstabelle an:

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

Für

x^{2} cos (x) : f (x) = cos (x), k = 2

= (- 1)^{2} \frac{d ^{2}}{d s ^{2}} (L {cos (x)})

L {cos (x)} : \frac{s}{s ^{2} + 1}

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

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

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

Beliebte Beispiele

derivative f(x)=(5x^6+4x^3)^4

d er i v a t i v e f (x) = (5 x^{6} + 4 x^{3})^{4}

(4-t^2)y^'+2ty=3t^2

(4 - t^{2}) y^{^{'}} + 2 t y = 3 t^{2}

fläche f(x)=2sin(x)+x,-pi,pi

a re a f (x) = 2 sin (x) + x, - π, π

integral from 1 to e of x^3*ln(x)

\int_{1}^{e} x^{3} \cdot ln (x) d x

(\partial)/(\partial z)(xy+z^3x-2yz)

\frac{\partial}{\partial z} (x y + z^{3} x - 2 yz)