laplacetransform f(k)ke^{-3k}

Lösung

laplace transformation

f (k) k e^{- 3 k}

\frac{k ^{2} e ^{- 3 k}}{s ^{2}}

Schritte zur Lösung

L {(k) k e^{- 3 k} f}

Verwende die konstante Multiplikationseigenschaft der Laplace-Transformation:

For function

f (t)

and constant

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

= kk e^{- 3 k} L {f}

L {f} : \frac{1}{s ^{2}}

= kk e^{- 3 k} \frac{1}{s ^{2}}

Fasse

kk e^{- 3 k} \frac{1}{s ^{2}}

zusammen:

\frac{k ^{2} e ^{- 3 k}}{s ^{2}}

= \frac{k ^{2} e ^{- 3 k}}{s ^{2}}

p a r i t y y = x^{3 s i n (x)}

\int \frac{400 - x ^{2}}{x} d x

\frac{\partial}{\partial x} (ln (x) + y^{3} x)

\frac{\partial}{\partial x} (x^{3} + sin (x y))

\int_{2}^{6} \frac{x}{2 x - 3} d x