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Question on proper technique for solving this equation

  1. Jan 3, 2016 #1
    This is NOT a homework question. I am having trouble solving the following differential equation to solve for A[r]:

    Snapshot.jpg

    Any suggestions?
     
  2. jcsd
  3. Jan 3, 2016 #2

    fresh_42

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    2017 Award

    Staff: Mentor

    As far as I can see it is a Bernoulli differential equation of the form ##A'(r) = p(r) A^2(r) + q(r) A(r)## with rational functions ##p(r)## and ##q(r)##. The substitution ##B(r) = A^{-1}(r)## delivers then the LDE ##B' = -p-q B##.
     
  4. Jan 3, 2016 #3
    Awesome! That's it. Thanks so much.
     
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