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Nonseparable ODE which method to use

  1. Oct 26, 2013 #1
    1. The problem statement, all variables and given/known data
    $$
    \left(\frac{du}{dx}\right)^2 = au^2 + bu + c
    $$


    2. Relevant equations



    3. The attempt at a solution

    What method is used to solve and ODE of this form
     
  2. jcsd
  3. Oct 26, 2013 #2

    hilbert2

    User Avatar
    Science Advisor
    Gold Member

    Isn't that equivalent to ##\frac{du}{\sqrt{au^{2}+bu+c}}=\pm dx## ? Seems to be separable after all.
     
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