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Beliebt Rechnen >

laplacetransform t^2*e^{,\at}

Lösung

laplace transformation

t^{2} \cdot e^{, at}

Lösung

e^{, at} \frac{2}{s ^{3}}

Schritte zur Lösung

L {e^{, at} t^{2}}

Verwende die konstante Multiplikationseigenschaft der Laplace-Transformation:

For function

f (t)

and constant

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

= e^{, at} L {t^{2}}

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

= e^{, at} \frac{2}{s ^{3}}

Beliebte Beispiele

integral of (cos(5x))/(sqrt(sin(5x)+4))

\int \frac{cos ( 5 x )}{sin ( 5 x ) + 4} d x

integral of (-3x^2)/(x^4-1)

\int \frac{- 3 x ^{2}}{x ^{4} - 1} d x

inverselaplace 1/(2s^2+3s+1)

in v erse l a pl a ce \frac{1}{2 s ^{2} + 3 s + 1}

derivative x^6cos(x)

d er i v a t i v e x^{6} cos (x)

derivative y(s)= 1/(s+ke^s)

d er i v a t i v e y (s) = \frac{1}{s + k e ^{s}}