de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

laplacetransform 2t^2-t+1

Lösung

laplace transformation

2 t^{2} - t + 1

Lösung

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

Schritte zur Lösung

L {2 t^{2} - t + 1}

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)}

= 2 L {t^{2}} - L {t} + L {1}

L {t^{2}} : \frac{2}{s ^{3}}

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

L {1} : \frac{1}{s}

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

Fasse

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

zusammen:

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

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

Beliebte Beispiele

integral of (5x+4)^2

\int (5 x + 4)^{2} d x

integral of x^3sqrt(9-x^2)

\int x^{3} 9 - x^{2} d x

integral of (2x^2)/((x-2)^3)

\int \frac{2 x ^{2}}{( x - 2 ) ^{3}} d x

integral from-1 to 2 of 3x^2+2x+1

\int_{- 1}^{2} 3 x^{2} + 2 x + 1 d x

derivative cos(cos(cos(x)))

d er i v a t i v e cos (cos (cos (x)))