laplacetransform te^{10t}

Lösung

laplace transformation

t e^{10 t}

\frac{1}{( s - 10 ) ^{2}}

Schritte zur Lösung

L {e^{10 t} t}

Wende Laplace-Transformationstabelle an:

L {t^{k} f (t)} = (- 1)^{k} \frac{d ^{k}}{d s ^{k}} (L {f (t)})

Für

t e^{10 t} : f (t) = e^{10 t}, k = 1

= (- 1)^{1} \frac{d}{d s} (L {e^{10 t}})

L {e^{10 t}} : \frac{1}{s - 10}

\frac{d}{d s} (\frac{1}{s - 10}) = - \frac{1}{( s - 10 ) ^{2}}

= (- 1)^{1} (- \frac{1}{( s - 10 ) ^{2}})

= \frac{1}{( s - 10 ) ^{2}}

x \to 0 lim (\frac{( arctan ( 4 x ) )}{ln ( x )})

\frac{\partial}{\partial x} (ln (4 x + 5 y))

x \to 0 + lim (e^{- 2 x} ln (x))

t a y l or \frac{1}{x}, 3

d er i v a t i v e \frac{1}{2} x y