laplacetransform sqrt(t/pi)

Lösung

laplace transformation

\frac{t}{π}

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

Schritte zur Lösung

L {\frac{t}{π}}

Verwende die konstante Multiplikationseigenschaft der Laplace-Transformation:

For function

f (t)

and constant

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

= \frac{1}{π} L {t}

L {t} : \frac{π}{2 s ^{\frac{3}{2}}}

= \frac{1}{π} \frac{π}{2 s ^{\frac{3}{2}}}

Fasse

\frac{1}{π} \frac{π}{2 s ^{\frac{3}{2}}}

zusammen:

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

= \frac{1}{2 s ^{\frac{3}{2}}}

\int \frac{2 x - 5}{x ^{2} - 5 x - 1} d x

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

\frac{d}{d x} (\frac{x - x}{x ^{\frac{1}{9}}})

a re a y = 2 x + 5, y = 14 - x^{2}, (- 1, 2)

\frac{d}{d x} (- 3 sin (x) + cos (x))