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

Homework Help: Asymptotic expansion CHALLENGE

  1. Sep 12, 2008 #1
    Asymptotic expansion CHALLENGE!!

    KUDOS TO ANYONE WHO GETS THIS!!

    1. The problem statement, all variables and given/known data

    For Perturbation Methods class we are supposed to find two-term asymptotic expansions for the two real roots of xe-x = [tex]\epsilon[/tex]as [tex]\epsilon[/tex]-->0+

    2. Relevant equations
    xe-x = [tex]\epsilon[/tex]as [tex]\epsilon[/tex]-->0+

    x = [tex]\epsilon[/tex]e-x


    3. The attempt at a solution
    Graph x = [tex]\epsilon[/tex]e-x and y=x. Find the first root near 0; how do I find the second root and then the two-term asymptotic expansion for these two real roots??
     
    Last edited: Sep 12, 2008
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted