[itex]L[sin(at)]=\frac{a}{s^{2}+a^{2}}, Re>0[/itex](adsbygoogle = window.adsbygoogle || []).push({});

[itex]L[e^{kt}]=\frac{1}{s-k}, s>k[/itex]

[itex]L[e^{-kt}]=\frac{1}{s+k}, s<-k[/itex]

[itex]L[sin(at)]=\frac{1}{2i}L[e^{iat}-e^{-iat}][/itex]

[itex]=\frac{1}{2i}L[e^{iat}]-L[e^{-iat}][/itex]

Using the above relations

[itex]=\frac{1}{2i}[\frac{1}{s-ia}-\frac{1}{s+ia}], s>ia, s<-ia[/itex]

The problem is that I don't understand, howands>iacould imply that Real part of s>0?s<-ia

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Laplace Sine Transform

Loading...

Similar Threads - Laplace Sine Transform | Date |
---|---|

A Inversion of Division of Bessel Functions in Laplace Domain? | Feb 15, 2017 |

Can You Help With Finite Element Analysis in Cylindrical Coordinates? | Aug 25, 2015 |

Why is the set of cosines and sines a vector space? | Aug 18, 2015 |

Series form of the Laplace transform | Nov 28, 2012 |

Laplace transform as rotation. In what space? | Mar 5, 2012 |

**Physics Forums - The Fusion of Science and Community**