de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

laplacetransform-8sin(0.2t)

Lösung

laplace transformation

- 8 sin (0.2 t)

Lösung

- \frac{1.6}{s ^{2} + 0.04}

Schritte zur Lösung

L {- 8 sin (0.2 t)}

Verwende die konstante Multiplikationseigenschaft der Laplace-Transformation:

For function

f (t)

and constant

a : L {a \cdot f (t)} = a \cdot L {f (t)}

= - 8 L {sin (0.2 t)}

L {sin (0.2 t)} : \frac{0.2}{s ^{2} + 0.04}

= - 8 \cdot \frac{0.2}{s ^{2} + 0.04}

Fasse

- 8 \frac{0.2}{s ^{2} + 0.04}

zusammen:

- \frac{1.6}{s ^{2} + 0.04}

= - \frac{1.6}{s ^{2} + 0.04}

Beliebte Beispiele

derivative 2x-cot^2(x)

d er i v a t i v e 2 x - cot^{2} (x)

derivative of (sin(xy)/(x^2+y^2))

\frac{d}{d x} (\frac{sin ( x y )}{x ^{2} + y ^{2}})

integral of 2^3sin(x^2)

\int 2^{3} sin (x^{2}) d x

derivative of 2/(4x^2+1)

\frac{d}{d x} (\frac{2}{4 x ^{2} + 1})

(dx)/(dt)=(x^3-xt^2)/(t^3),x(1)=2

\frac{d x}{d t} = \frac{x ^{3} - x t ^{2}}{t ^{3}}, x (1) = 2