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Some tip you can share to solve this equation?

  1. Jan 12, 2015 #1
    Hi everyone,
    I've been trying to solve the following equation:

    [itex]x^2(yy''-{y'}^2)+xyy'-y\sqrt{y^2+x^2y'^2}=0[/itex]

    One of the tries was to do the substitution [itex]z=xy'[/itex]. However, it doesnt seem to work...
     
    Last edited: Jan 12, 2015
  2. jcsd
  3. Jan 12, 2015 #2
    Try starting by dividing the equation by y2, and working with z =y'/y. This will reduce it to a first order equation in z.

    Chet
     
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