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Homework Help: Y'' = -2xy y'

  1. Nov 3, 2012 #1
    1. The problem statement, all variables and given/known data

    Solve for y: (note the one in the title is wrong)

    [tex] \frac{d^2y}{dx^2} = -2xy \frac{dy}{dx} [/tex]

    2. Relevant equations

    None that I can think of.

    3. The attempt at a solution

    [strike]Oh so many failures. None which solved anything. I don't even know if this equation is solvable. :([/strike]

    Well I think the correct solution should contain two unknowns. Two solutions are y=A and y=3/2 x^(-2) but a linear combination of these is not. Also no other solutions can be expressed as a finite polynomial. So where the heck do I go from here?
    Last edited by a moderator: Nov 7, 2012
  2. jcsd
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