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Diff Equation

  1. May 22, 2007 #1
    I have this equation , I feel like the solution should be rather easy to have, but somehow it evades me, maybe I'm mistaken, what type is this equation?
    any explicit solutions?
    ay"+bxy'+cy*x^2=0
    a,b,c are just constant.
     
  2. jcsd
  3. May 22, 2007 #2

    Astronuc

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  4. May 23, 2007 #3
    As simple as that?
    For a second I thought It could only be solved by a Power Series or something like that, I think I'm becoming rusty!!
     
  5. Jun 2, 2007 #4

    HallsofIvy

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    Depends on what you mean by simple. That is, of course, a "Second-Order Ordinary Differential Equation" with variable coefficients. Power series is, in fact, the most common method of solving such an equation.
     
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