1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Non-homogeneous laplace

  1. Jan 18, 2008 #1
    Hi, I can solve homogeneous laplace fine, but with RHS i get stuck half way through.

    y' +3y = 8e[tex]^{t}[/tex]
    y(0) = 2

    Working as if it was homogeneous..

    sY(s) - 2 + 3Y(s) = 8 . [tex]\frac{1}{s-1}[/tex]
    Y(s) (s+3) - 2 = 8 . [tex]\frac{1}{s-1}[/tex]

    I think the next step is
    Y(s) = [tex]\frac{2}{s+3}[/tex] + [tex]\frac{8}{s-1}[/tex]

    and then do partial fractions but i dont think it leads me to where I need to be. I think i need to make it into a heaviside ??

    Any help would be great. thanks
  2. jcsd
  3. Jan 18, 2008 #2
    After the second step you should get Y(s)= 8/((s-1)*(s+3)) + 2/(s+3)

    After doing a partial fraction expansion you get Y(s)= 4/(s-1)

    which should give you y(t)= ? (I think you can figure it out from here.)
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Non-homogeneous laplace