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Beliebt Rechnen >

laplacetransform-2e^{3t}

Lösung

laplace transformation

- 2 e^{3 t}

Lösung

- \frac{2}{s - 3}

Schritte zur Lösung

L {- 2 e^{3 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)}

= - 2 L {e^{3 t}}

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

= - 2 \cdot \frac{1}{s - 3}

Fasse

- 2 \frac{1}{s - 3}

zusammen:

- \frac{2}{s - 3}

= - \frac{2}{s - 3}

Beliebte Beispiele

25y^{''}-25y^'-6y=0

25 y^{^{''}} - 25 y^{^{'}} - 6 y = 0

derivative of (e^x(x^2-4x+5)/((1-x)^3))

\frac{d}{d x} (\frac{e ^{x} ( x ^{2} - 4 x + 5 )}{( 1 - x ) ^{3}})

integral of tan(sqrt(x))

\int tan (x) d x

integral of 1/(xsqrt(25-x^2))

\int \frac{1}{x 25 - x ^{2}} d x

integral of 5sqrt(x^3)

\int 5 x^{3} d x