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How do I go about solving this PDE?

  1. Jul 9, 2011 #1
    1. The problem statement, all variables and given/known data

    [tex] \frac{\partial^2X}{\partial a^2} + (X^4-1)\frac{\partial X}{\partial a} = 0 [/tex]


    2. Relevant equations

    How do I go about solving this PDE ???

    3. The attempt at a solution

    Please help !!!
     
  2. jcsd
  3. Jul 9, 2011 #2
    Re: Pde

    Is X a vector? Then I would try rewriting it in polar coordinates. Otherwise this isn't a PDE and could be solved with the same method as is used with separation of variables.
     
  4. Jul 9, 2011 #3
    Re: Pde

    How do you solve with s.o.v. ?
     
  5. Jul 9, 2011 #4
    Re: Pde

    Is it a pde or not? Ie, is X a vector or a single variable? As for how to solve it if it is an ODE, just integrate it with respect to a and then solve normally.
     
  6. Jul 9, 2011 #5
    Re: Pde

    Ok. Lets call it an ODE: [tex] \frac{d^2y}{dx^2} + (y^4-1)\frac{dy}{dx} = 0 [/tex]

    Now how solve please !!!
     
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