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Secondary differential equation

  1. Apr 14, 2010 #1
    Hi, I have a problem with this equation:

    d^2b/dz^2= M*(K+c*b)/(k+c*b)

    b(1)=1

    K,k,c are constans

    I need to find a relation between b(0) and M. If it is possible when I resolve this equation and set z = 0?

    Thanks in advance.
     
  2. jcsd
  3. Apr 14, 2010 #2
    An integrating factor to your ODE is

    [tex]\mu = \frac {db}{dz}[/tex]

    So you can find the first integral and then the general solution to your ODE (It'll be in implicit form, unfortunately).
     
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