laplacetransform 3^{(-1/10 t)}

Lösung

laplace transformation

3^{(- \frac{1}{10} t)}

\frac{10}{10 s - 10 ln ( 3 ) + 1}

Schritte zur Lösung

L {3^{(- \frac{1}{10} t)}}

Schreibe um

3^{- \frac{1}{10} t} : e^{l n (3) - \frac{1}{10} t}

= L {e^{l n (3) - \frac{1}{10} t}}

Wende Laplace-Transformationstabelle an:

L {e^{a t}} = \frac{1}{s - a}

L {e^{l n (3) - \frac{1}{10} t}} = \frac{1}{s - ln ( 3 ) + \frac{1}{10}}

= \frac{1}{s - ln ( 3 ) + \frac{1}{10}}

= \frac{10}{10 s - 10 ln ( 3 ) + 1}

in v erse l a pl a ce \frac{- 5 e ^{(- 3 s)}}{( s ^{2} - 5 s + 6 )}

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x \to 0 - lim (\frac{7}{x} - \frac{7}{∣ x ∣})

\int_{0}^{1} \frac{1}{1 - x ^{2}} d x