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Homework Help: Asymptotic expansion CHALLENGE

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


    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
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