(New page: <math>X(\omega) = \frac{j\omega}{7 + j\omega}</math> <math>x(t) = \frac{1}{2\pi} \int_{-\infty}^{\infty}\frac{j\omega e^{j\omega t}}{7 + j\omega}d\omega</math> <math>= \frac{j\ome...) |
(No difference)
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Revision as of 17:21, 8 October 2008
$ X(\omega) = \frac{j\omega}{7 + j\omega} $
$ x(t) = \frac{1}{2\pi} \int_{-\infty}^{\infty}\frac{j\omega e^{j\omega t}}{7 + j\omega}d\omega $
$ = \frac{j\omega}{2\pi} \int_{-\infty}^{\infty}\frac{e^{j\omega t}}{7 + j\omega}d\omega $
$ = \frac{d}{dt}e^{-7t}u(t) $
