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Solution for a general variational equation of 2nd order

  1. Sep 13, 2015 #1
    In a book of math, I found a kind very very crazy of equation, an "variational equation of second order"

    So, my question is: exist solution for an general equation like this:

    [tex] A \frac{d^2}{dx^2} \frac{\partial F}{\partial y^{(2)}} + B \frac{d^1}{dx^1} \frac{\partial F}{\partial y^{(1)}} + C \frac{d^0}{dx^0} \frac{\partial F}{\partial y^{(0)}}= 0[/tex]
    (with A, B and C being constants)

    EDIT: my other question is: what you know about this kind of equation? I never saw nothing like this before...
     

    Attached Files:

  2. jcsd
  3. Sep 14, 2015 #2

    Orodruin

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    This completely depends on the function ##F##. If you want to know more about this type of equations, you need to study a textbook or similar material regarding variational calculus.
     
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