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Homework Help: Solving Euler equationplease check work thanks

  1. May 10, 2010 #1
    1. The problem statement, all variables and given/known data
    determine the gen sol of the DE

    [tex]x^2y'' - 5xy' + 9y = 0 [/tex]


    Q/P = A = -5 and R/P = B = 9

    then use y = x^r in original DE...
    y' = rx^(r-1)
    y'' = (r-1)rx^(r-2)

    insert into DE
    [tex]
    x^2 (r-1)rx^{r-2} - 5x(rx^{r-1})+ 9x^r = 0
    [/tex]

    i am confused as to how to proceed.. it looks like a characteristic, but do i separate the x's or what?? please help thanks
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. May 10, 2010 #2

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    Hi darryw! :smile:
    erm :redface: … they're all xr :biggrin:

    get some sleep! :zzz:
     
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