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Rearrange equation (solution of ODE)

  1. Oct 10, 2014 #1
    I have determined the solution to a nonlinear first order ordinary differential equation but am struggling to rearrange the result, I have that


    How would I rearrange this equation for $$R$$?
    Last edited: Oct 10, 2014
  2. jcsd
  3. Oct 10, 2014 #2

    Stephen Tashi

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    Science Advisor

    Do you mean that [itex] R(x) [/itex] is the function that solves a differential equation in the variable [itex] x [/itex] ?
  4. Oct 10, 2014 #3


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    Homework Helper

    You can't. What you have is essentially [tex]
    \ln(R^{n-1}) + mR^{n-1} = A[/tex] which doesn't have an analytic solution for [itex]R^{n-1}[/itex] given [itex]A[/itex].
  5. Oct 10, 2014 #4
    Sorry I should have been more clear. I have determined the solution [itex] R(\xi) [/itex], the solution is


    I simply need to rearrange this to say [itex] R(\xi)=\cdots [/itex]
  6. Oct 10, 2014 #5


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    Science Advisor

    That was clear. And what you have been told that there is no solution in terms of elementary functions.
  7. Oct 10, 2014 #6


    Staff: Mentor

    The question has been asked and answered, so I'm closing this thread.
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