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Beliebt Rechnen >

laplacetransform-5t^2

Lösung

laplace transformation

- 5 t^{2}

Lösung

- \frac{10}{s ^{3}}

Schritte zur Lösung

L {- 5 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)}

= - 5 L {t^{2}}

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

= - 5 \cdot \frac{2}{s ^{3}}

Fasse

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

zusammen:

- \frac{10}{s ^{3}}

= - \frac{10}{s ^{3}}

Beliebte Beispiele

derivative f(x)=((x^2+1))/(x-1)

d er i v a t i v e f (x) = \frac{( x ^{2} + 1 )}{x - 1}

integral of (7^x)

\int (7^{x}) d x

integral of x^3e^{(x^2)/2}

\int x^{3} e^{\frac{x ^{2}}{2}} d x

integral of 4/(x^2+5x-4)

\int \frac{4}{x ^{2} + 5 x - 4} d x

sum from n=1 to infinity of 9/(n(n+3))

n = 1 \sum \infty \frac{9}{n ( n + 3 )}