Solving for variable on both sides of equation and with an exponent

Discussion in 'Symbolic Algebra' started by ageorgas, Apr 11, 2006.

  1. ageorgas

    ageorgas Guest

    I am trying to solve for I in the following equation:

    I=I^n/(K+I^n)

    Are there any assumptions other than n equals an integer that would
    allow me to solve for I in this equation?
     
    ageorgas, Apr 11, 2006
    #1
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  2. Sure. I=0 is a solution, except maybe when n=0. I=1/(K+1) is a
    solution except maybe when K=-1. When K=0, I=1. None of these
    require that n be an integer. I think that


    otherwise you need to find solutions to I^n - I^(n-1)+K =0.
     
    Richard J. Fateman, Apr 12, 2006
    #2
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  3. ageorgas

    Ken Pledger Guest

    Ken Pledger, Apr 12, 2006
    #3
  4. ageorgas

    C W Guest

    A requirement for K is :

    K <= ((n-1)/n)^n/(n-1)

    Chris
     
    C W, Apr 13, 2006
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