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Beliebt Rechnen >

laplacetransform-4e^{4t}

Lösung

laplace transformation

- 4 e^{4 t}

Lösung

- \frac{4}{s - 4}

Schritte zur Lösung

L {- 4 e^{4 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)}

= - 4 L {e^{4 t}}

L {e^{4 t}} : \frac{1}{s - 4}

= - 4 \cdot \frac{1}{s - 4}

Fasse

- 4 \frac{1}{s - 4}

zusammen:

- \frac{4}{s - 4}

= - \frac{4}{s - 4}

Beliebte Beispiele

(\partial)/(\partial y)(cos(x))

\frac{\partial}{\partial y} (cos (x))

7 y^{^{''}} + 26 y = 0

derivative (-5)/(6x^6)

d er i v a t i v e \frac{- 5}{6 x ^{6}}

derivative of (0.3(9^x)/(x^3))

\frac{d}{d x} (\frac{0.3 ( 9 ^{x} )}{x ^{3}})

derivative f(x)=5-2x^3

d er i v a t i v e f (x) = 5 - 2 x^{3}