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

Lösung

laplace transformation

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

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}}

\int \frac{x ^{2} + 25}{x} d x

\int (7 - \frac{1}{3} sin (x) + 9 cos (x)) d x

t an g e n t f (x) = x + \frac{17}{x}, at x = 1

\frac{d y}{d x} = - \frac{4 sin ( x ) cos ( x )}{y}

x \to 2 lim (x^{2} - 2 x + 1)