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Beliebt Rechnen >

laplacetransform 4e^{(2t)/3}

Lösung

laplace transformation

4 e^{\frac{2 t}{3}}

Lösung

\frac{12}{3 s - 2}

Schritte zur Lösung

L {4 e^{\frac{2 t}{3}}}

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^{\frac{2}{3} t}}

L {e^{\frac{2}{3} t}} : \frac{3}{3 s - 2}

= 4 \cdot \frac{3}{3 s - 2}

Fasse

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

zusammen:

\frac{12}{3 s - 2}

= \frac{12}{3 s - 2}

Beliebte Beispiele

limit as x approaches 0 of (6sin(3x))/x

x \to 0 lim (\frac{6 sin ( 3 x )}{x})

derivative of 3^{2x^2}sqrt(x)

\frac{d}{d x} (3^{2 x^{2}} x)

integral from t to 2 of (1/(sqrt(x-1)))

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

integral of 3^2

\int 3^{2} d x

derivative f(x)=e^{z/((z-2))}

d er i v a t i v e f (x) = e^{\frac{z}{( z - 2 )}}