1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?