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Beliebt Rechnen >

laplacetransform e^{-t}e^{3t}

Lösung

laplace transformation

e^{- t} e^{3 t}

Lösung

\frac{1}{s - 2}

Schritte zur Lösung

L {e^{- t} e^{3 t}}

Wende Transformationsregel an: wenn

L {f (t)} = F (s)

dann

L {e^{a t} f (t)} = F (s - a)

Für

e^{- t} e^{3 t} : f (t) = e^{3 t}, a = - 1

= L {e^{3 t}} (s + 1)

L {e^{3 t}} : \frac{1}{s - 3}

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

= \frac{1}{s - 2}

Beliebte Beispiele

limit as x approaches 0+of (x^2e^{1/x})/(1+x^2)

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

y^'=sqrt((x+3)/(y+8))

y^{^{'}} = \frac{x + 3}{y + 8}

derivative f(x)=x^2-9x+118

d er i v a t i v e f (x) = x^{2} - 9 x + 118

derivative of x^{(-1/2}sin(x))

\frac{d}{d x} (x^{\frac{- 1}{2}} sin (x))

integral of 3(3x+2)

\int 3 (3 x + 2) d x