de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

laplacetransform 3-2t+4cos(2t)

Lösung

laplace transformation

3 - 2 t + 4 cos (2 t)

Lösung

\frac{3}{s} - \frac{2}{s ^{2}} + \frac{4 s}{s ^{2} + 4}

Schritte zur Lösung

L {3 - 2 t + 4 cos (2 t)}

Verwende die lineare Eigenschaft der Laplace-Transformation:

Für Funktionen

f (t), g (t)

und Konstanten

a, b : L {a \cdot f (t) + b \cdot g (t)} = a \cdot L {f (t)} + b \cdot L {g (t)}

= L {3} - 2 L {t} + 4 L {cos (2 t)}

L {3} : \frac{3}{s}

L {t} : \frac{1}{s ^{2}}

L {cos (2 t)} : \frac{s}{s ^{2} + 4}

= \frac{3}{s} - 2 \cdot \frac{1}{s ^{2}} + 4 \cdot \frac{s}{s ^{2} + 4}

Fasse

\frac{3}{s} - 2 \frac{1}{s ^{2}} + 4 \frac{s}{s ^{2} + 4}

zusammen:

\frac{3}{s} - \frac{2}{s ^{2}} + \frac{4 s}{s ^{2} + 4}

= \frac{3}{s} - \frac{2}{s ^{2}} + \frac{4 s}{s ^{2} + 4}

Beliebte Beispiele

derivative of xcos^2(x)

\frac{d}{d x} (x cos^{2} (x))

limit as x approaches 1+of 5/(x^2-1)

x \to 1 + lim (\frac{5}{x ^{2} - 1})

integral of 1/(1+2x)

\int \frac{1}{1 + 2 x} d x

limit as x approaches 3 of 4x

x \to 3 lim (4 x)

limit as x approaches 3 of 5x^3-4x^2+x-6

x \to 3 lim (5 x^{3} - 4 x^{2} + x - 6)