laplacetransform 5t^2

Lösung

laplace transformation

5 t^{2}

\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}}

x \to - 6 - lim (\frac{∣ x + 6 ∣}{x + 6})

\int_{0}^{1} (x^{2} + 1) d x

\frac{\partial}{\partial x} (- 5 y^{4} sin (5 x))

\frac{d y}{d x} = \frac{3 x - 9}{2 x + 8}

x \to 0 lim (\frac{1 - e ^{- 2 x}}{x})