Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Laplace transform with Heaviside function

  1. Jun 18, 2014 #1
    Hello,

    I am searching for the Laplace transform of this function

    [tex]u_a(y)\frac{\partial c(t)}{\partial t}[/tex]

    where [tex]u_a(y)[/tex] is the Heaviside step function (a>0).

    Can anyone help me?

    Thanks in advance! Paolo
     
  2. jcsd
  3. Jun 18, 2014 #2

    pasmith

    User Avatar
    Homework Helper

    Laplace transform with respect to which variable?
     
  4. Jun 19, 2014 #3
    With respect to c(t).
     
  5. Jun 19, 2014 #4
    Actually, I realized that there is an error in the equation. The correct equation is as follows:

    [tex]u_a(t)\frac{\partial{c(t)}}{\partial t}[/tex]

    i.e. u_a is a function of t and NOT y.

    Sorry for the mistake!
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook