Difference between revisions of "Laplace transform"
From specialfunctionswiki
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[https://www.youtube.com/watch?v=u3v6V7SXrl8 Laplace transform of power function with real exponent] <br /> | [https://www.youtube.com/watch?v=u3v6V7SXrl8 Laplace transform of power function with real exponent] <br /> | ||
| − | [https://www.youtube.com/watch?v=ca1LuQZRX6s Laplace transform of $\sin(\sqrt{t})$] | + | [https://www.youtube.com/watch?v=ca1LuQZRX6s Laplace transform of $\sin(\sqrt{t})$]<br /> |
| + | [https://www.youtube.com/watch?v=hmvAukGi6sA Laplace transform of impulse function]<br /> | ||
Revision as of 05:01, 19 January 2015
Let $f \colon \mathbb{R} \rightarrow \mathbb{C}$ be a function, then the Laplace transform of $f$ is the function defined by $$\mathscr{L}\{f\}(z) = \displaystyle\int_0^{\infty} e^{-zt}f(t) dt.$$
Videos
Laplace transform of power function with real exponent
Laplace transform of $\sin(\sqrt{t})$
Laplace transform of impulse function
