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Beliebt Rechnen >

laplacetransform 4te^{-2t}

Lösung

laplace transformation

4 t e^{- 2 t}

Lösung

\frac{4}{( s + 2 ) ^{2}}

Schritte zur Lösung

L {4 e^{- 2 t} 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)}

= 4 L {t e^{- 2 t}}

L {t e^{- 2 t}} : \frac{1}{( s + 2 ) ^{2}}

= 4 \cdot \frac{1}{( s + 2 ) ^{2}}

Fasse

4 \frac{1}{( s + 2 ) ^{2}}

zusammen:

\frac{4}{( s + 2 ) ^{2}}

= \frac{4}{( s + 2 ) ^{2}}

Beliebte Beispiele

derivative of ln((x^2-5^2/(x^2+5^2)))

\frac{d}{d x} (ln (\frac{x ^{2} - 5 ^{2}}{x ^{2} + 5 ^{2}}))

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\int (7^{x - 2}) d x

inverselaplace (10s)/(s^2+16)

in v erse l a pl a ce \frac{10 s}{s ^{2} + 16}

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\int (sec^{2} (x) + 8) d x

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\int 2 x x^{2} + 9 d x