laplacetransform 8te^{2t}

Lösung

laplace transformation

8 t e^{2 t}

\frac{8}{( s - 2 ) ^{2}}

Schritte zur Lösung

L {8 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)}

= 8 L {t e^{2 t}}

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

= 8 \cdot \frac{1}{( s - 2 ) ^{2}}

Fasse

8 \frac{1}{( s - 2 ) ^{2}}

zusammen:

\frac{8}{( s - 2 ) ^{2}}

= \frac{8}{( s - 2 ) ^{2}}

d er i v a t i v e f (x) = \frac{5 - x e ^{x}}{x + e ^{x}}

d er i v a t i v e \frac{1}{2} sin^{2} (x)

x \to - 1 lim ((1 + \frac{1}{x})^{x})

\int x^{3} - 2 x d x

x \to - 16 lim (14)