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Beliebt Rechnen >

laplacetransform e^{t+7}

Lösung

laplace transformation

e^{t + 7}

Lösung

\frac{e ^{7}}{s - 1}

Schritte zur Lösung

L {e^{t + 7}}

Verwende die konstante Multiplikationseigenschaft der Laplace-Transformation:

For function

f (t)

and constant

a : L {a \cdot f (t)} = a \cdot L {f (t)}

= e^{7} L {e^{t}}

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

= e^{7} \frac{1}{s - 1}

Fasse

e^{7} \frac{1}{s - 1}

zusammen:

\frac{e ^{7}}{s - 1}

= \frac{e ^{7}}{s - 1}

Beliebte Beispiele

integral of 5xsqrt(1-x^4)

\int 5 x 1 - x^{4} d x

derivative x(x^2+4)^5

d er i v a t i v e x (x^{2} + 4)^{5}

derivative f(x)=5x+2x^2+7e^x

d er i v a t i v e f (x) = 5 x + 2 x^{2} + 7 e^{x}

fläche y=-x^2+1,y=0

a re a y = - x^{2} + 1, y = 0

integral from 0 to pi of 1/(sqrt(pi-x))

\int_{0}^{π} \frac{1}{π - x} d x