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Beliebt Rechnen >

laplacetransform f(t)=t^2-2t

Lösung

laplace transformation

f (t) = t^{2} - 2 t

Lösung

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

Schritte zur Lösung

L {t^{2} - 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 {t^{2}} - 2 L {t}

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

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

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

Fasse

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

zusammen:

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

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

Beliebte Beispiele

integral of (x^2-17x+4)/(x+7)

\int \frac{x ^{2} - 17 x + 4}{x + 7} d x

derivative of x^2+4x-8

\frac{d}{d x} (x^{2} + 4 x - 8)

limit as x approaches 0 of ((e^{3x}-1))/(sin(5x))

x \to 0 lim (\frac{( e ^{3 x} - 1 )}{sin ( 5 x )})

integral of cos^3(x)sin^3(x)

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

y^{^{''}} - 81 y = 0