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Second order differential equation

  1. Sep 30, 2009 #1
    1. The problem statement, all variables and given/known data

    find the general solution to the second order ode:
    x4y''+2x3y'+y=0

    2. Relevant equations

    using Euler's method

    3. The attempt at a solution

    assume that the solution is y=xa
    then y'=axa-1 and y''-a(a-1)xa-2
    substituting these into the ode:
    a(a-1)xa+2axa+xax-2=0
    which gives
    a2+a+x-2=0

    and this is where i got stuck.
    thank you
     
  2. jcsd
  3. Sep 30, 2009 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    ?? You say "use Euler's method". That is a numerical method of solving differential equations. What you are doing has nothing to do with Euler's method.
     
  4. Sep 30, 2009 #3
    I think i made a mistake. I thought when we use the assumption y=x^a that this is called Euler's method. but now i know it has nothing to do with it :)
     
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